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Finding the Third Proportional to 424,748 and 912,464

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Solution

The third proportional to 424,748 and 912,464 is: 1,960,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,748 : 912,464 = 912,464 : x
  2. Step 2: Convert to fraction form
    424,748/912,464 = 912,464/x
  3. Step 3: Cross multiply
    424,748x = 912,464 × 912,464
  4. Step 4: Simplify right side
    424,748x = 832,590,551,296
  5. Step 5: Solve for x
    x = 832,590,551,296/424,748
  6. Step 6: Final answer
    x = 1,960,198.87

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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.