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Finding the Third Proportional to 726,355,080 and 1,019,220,003

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Solution

The third proportional to 726,355,080 and 1,019,220,003 is: 1,430,167,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,355,080 : 1,019,220,003 = 1,019,220,003 : x
  2. Step 2: Convert to fraction form
    726,355,080/1,019,220,003 = 1,019,220,003/x
  3. Step 3: Cross multiply
    726,355,080x = 1,019,220,003 × 1,019,220,003
  4. Step 4: Simplify right side
    726,355,080x = 1,038,809,414,515,320,064
  5. Step 5: Solve for x
    x = 1,038,809,414,515,320,064/726,355,080
  6. Step 6: Final answer
    x = 1,430,167,480.23

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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.