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Finding the Third Proportional to 424,747 and 912,462

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Solution

The third proportional to 424,747 and 912,462 is: 1,960,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,747 : 912,462 = 912,462 : x
  2. Step 2: Convert to fraction form
    424,747/912,462 = 912,462/x
  3. Step 3: Cross multiply
    424,747x = 912,462 × 912,462
  4. Step 4: Simplify right side
    424,747x = 832,586,901,444
  5. Step 5: Solve for x
    x = 832,586,901,444/424,747
  6. Step 6: Final answer
    x = 1,960,194.90

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Why These Related Problems?

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