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Finding the Third Proportional to 292,113,514 and 454,920,626

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Solution

The third proportional to 292,113,514 and 454,920,626 is: 708,466,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,113,514 : 454,920,626 = 454,920,626 : x
  2. Step 2: Convert to fraction form
    292,113,514/454,920,626 = 454,920,626/x
  3. Step 3: Cross multiply
    292,113,514x = 454,920,626 × 454,920,626
  4. Step 4: Simplify right side
    292,113,514x = 206,952,775,960,231,872
  5. Step 5: Solve for x
    x = 206,952,775,960,231,872/292,113,514
  6. Step 6: Final answer
    x = 708,466,969.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.