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Finding the Third Proportional to 702,746 and 1,545,436

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Solution

The third proportional to 702,746 and 1,545,436 is: 3,398,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,746 : 1,545,436 = 1,545,436 : x
  2. Step 2: Convert to fraction form
    702,746/1,545,436 = 1,545,436/x
  3. Step 3: Cross multiply
    702,746x = 1,545,436 × 1,545,436
  4. Step 4: Simplify right side
    702,746x = 2,388,372,430,096
  5. Step 5: Solve for x
    x = 2,388,372,430,096/702,746
  6. Step 6: Final answer
    x = 3,398,628.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.