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Finding the Third Proportional to 1,497,693 and 3,231,564

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Solution

The third proportional to 1,497,693 and 3,231,564 is: 6,972,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,693 : 3,231,564 = 3,231,564 : x
  2. Step 2: Convert to fraction form
    1,497,693/3,231,564 = 3,231,564/x
  3. Step 3: Cross multiply
    1,497,693x = 3,231,564 × 3,231,564
  4. Step 4: Simplify right side
    1,497,693x = 10,443,005,886,096
  5. Step 5: Solve for x
    x = 10,443,005,886,096/1,497,693
  6. Step 6: Final answer
    x = 6,972,727.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.