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Finding the Third Proportional to 3,432,654 and 4,656,663

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Solution

The third proportional to 3,432,654 and 4,656,663 is: 6,317,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432,654 : 4,656,663 = 4,656,663 : x
  2. Step 2: Convert to fraction form
    3,432,654/4,656,663 = 4,656,663/x
  3. Step 3: Cross multiply
    3,432,654x = 4,656,663 × 4,656,663
  4. Step 4: Simplify right side
    3,432,654x = 21,684,510,295,569
  5. Step 5: Solve for x
    x = 21,684,510,295,569/3,432,654
  6. Step 6: Final answer
    x = 6,317,126.72

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.