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Finding the Third Proportional to 726,355,257 and 1,019,220,214.50

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Solution

The third proportional to 726,355,257 and 1,019,220,214.50 is: 1,430,167,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,355,257 : 1,019,220,214.50 = 1,019,220,214.50 : x
  2. Step 2: Convert to fraction form
    726,355,257/1,019,220,214.50 = 1,019,220,214.50/x
  3. Step 3: Cross multiply
    726,355,257x = 1,019,220,214.50 × 1,019,220,214.50
  4. Step 4: Simplify right side
    726,355,257x = 1,038,809,845,645,426,048
  5. Step 5: Solve for x
    x = 1,038,809,845,645,426,048/726,355,257
  6. Step 6: Final answer
    x = 1,430,167,725.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.