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Finding the Third Proportional to 292,472,885 and 635,292,778

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Solution

The third proportional to 292,472,885 and 635,292,778 is: 1,379,946,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,472,885 : 635,292,778 = 635,292,778 : x
  2. Step 2: Convert to fraction form
    292,472,885/635,292,778 = 635,292,778/x
  3. Step 3: Cross multiply
    292,472,885x = 635,292,778 × 635,292,778
  4. Step 4: Simplify right side
    292,472,885x = 403,596,913,778,957,312
  5. Step 5: Solve for x
    x = 403,596,913,778,957,312/292,472,885
  6. Step 6: Final answer
    x = 1,379,946,430.86

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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.