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Finding the Third Proportional to 292,472,886 and 635,292,780

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Solution

The third proportional to 292,472,886 and 635,292,780 is: 1,379,946,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,472,886 : 635,292,780 = 635,292,780 : x
  2. Step 2: Convert to fraction form
    292,472,886/635,292,780 = 635,292,780/x
  3. Step 3: Cross multiply
    292,472,886x = 635,292,780 × 635,292,780
  4. Step 4: Simplify right side
    292,472,886x = 403,596,916,320,128,384
  5. Step 5: Solve for x
    x = 403,596,916,320,128,384/292,472,886
  6. Step 6: Final answer
    x = 1,379,946,434.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.