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Finding the Third Proportional to 292,472,889 and 635,292,786

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Solution

The third proportional to 292,472,889 and 635,292,786 is: 1,379,946,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,472,889 : 635,292,786 = 635,292,786 : x
  2. Step 2: Convert to fraction form
    292,472,889/635,292,786 = 635,292,786/x
  3. Step 3: Cross multiply
    292,472,889x = 635,292,786 × 635,292,786
  4. Step 4: Simplify right side
    292,472,889x = 403,596,923,943,641,792
  5. Step 5: Solve for x
    x = 403,596,923,943,641,792/292,472,889
  6. Step 6: Final answer
    x = 1,379,946,446.74

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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.