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Finding the Third Proportional to 546,966 and 1,137,793.50

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Solution

The third proportional to 546,966 and 1,137,793.50 is: 2,366,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,966 : 1,137,793.50 = 1,137,793.50 : x
  2. Step 2: Convert to fraction form
    546,966/1,137,793.50 = 1,137,793.50/x
  3. Step 3: Cross multiply
    546,966x = 1,137,793.50 × 1,137,793.50
  4. Step 4: Simplify right side
    546,966x = 1,294,574,048,642.25
  5. Step 5: Solve for x
    x = 1,294,574,048,642.25/546,966
  6. Step 6: Final answer
    x = 2,366,827.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.