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Finding the Third Proportional to 424,754 and 912,470

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Solution

The third proportional to 424,754 and 912,470 is: 1,960,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,754 : 912,470 = 912,470 : x
  2. Step 2: Convert to fraction form
    424,754/912,470 = 912,470/x
  3. Step 3: Cross multiply
    424,754x = 912,470 × 912,470
  4. Step 4: Simplify right side
    424,754x = 832,601,500,900
  5. Step 5: Solve for x
    x = 832,601,500,900/424,754
  6. Step 6: Final answer
    x = 1,960,196.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.