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Finding the Third Proportional to 3,497,744 and 5,146,596

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Solution

The third proportional to 3,497,744 and 5,146,596 is: 7,572,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497,744 : 5,146,596 = 5,146,596 : x
  2. Step 2: Convert to fraction form
    3,497,744/5,146,596 = 5,146,596/x
  3. Step 3: Cross multiply
    3,497,744x = 5,146,596 × 5,146,596
  4. Step 4: Simplify right side
    3,497,744x = 26,487,450,387,216
  5. Step 5: Solve for x
    x = 26,487,450,387,216/3,497,744
  6. Step 6: Final answer
    x = 7,572,724.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.