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Finding the Third Proportional to 1,472,349 and 3,154,650

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Solution

The third proportional to 1,472,349 and 3,154,650 is: 6,759,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472,349 : 3,154,650 = 3,154,650 : x
  2. Step 2: Convert to fraction form
    1,472,349/3,154,650 = 3,154,650/x
  3. Step 3: Cross multiply
    1,472,349x = 3,154,650 × 3,154,650
  4. Step 4: Simplify right side
    1,472,349x = 9,951,816,622,500
  5. Step 5: Solve for x
    x = 9,951,816,622,500/1,472,349
  6. Step 6: Final answer
    x = 6,759,142.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.