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Finding the Third Proportional to 592,905,708 and 1,287,876,789

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Solution

The third proportional to 592,905,708 and 1,287,876,789 is: 2,797,454,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,905,708 : 1,287,876,789 = 1,287,876,789 : x
  2. Step 2: Convert to fraction form
    592,905,708/1,287,876,789 = 1,287,876,789/x
  3. Step 3: Cross multiply
    592,905,708x = 1,287,876,789 × 1,287,876,789
  4. Step 4: Simplify right side
    592,905,708x = 1,658,626,623,644,950,528
  5. Step 5: Solve for x
    x = 1,658,626,623,644,950,528/592,905,708
  6. Step 6: Final answer
    x = 2,797,454,302.20

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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.