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Finding the Third Proportional to 732,047 and 1,342,594

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Solution

The third proportional to 732,047 and 1,342,594 is: 2,462,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,047 : 1,342,594 = 1,342,594 : x
  2. Step 2: Convert to fraction form
    732,047/1,342,594 = 1,342,594/x
  3. Step 3: Cross multiply
    732,047x = 1,342,594 × 1,342,594
  4. Step 4: Simplify right side
    732,047x = 1,802,558,648,836
  5. Step 5: Solve for x
    x = 1,802,558,648,836/732,047
  6. Step 6: Final answer
    x = 2,462,353.71

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.