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Finding the Third Proportional to 712,282 and 1,536,920

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Solution

The third proportional to 712,282 and 1,536,920 is: 3,316,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,282 : 1,536,920 = 1,536,920 : x
  2. Step 2: Convert to fraction form
    712,282/1,536,920 = 1,536,920/x
  3. Step 3: Cross multiply
    712,282x = 1,536,920 × 1,536,920
  4. Step 4: Simplify right side
    712,282x = 2,362,123,086,400
  5. Step 5: Solve for x
    x = 2,362,123,086,400/712,282
  6. Step 6: Final answer
    x = 3,316,275.14

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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.