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Finding the Third Proportional to 592,905,658 and 1,287,876,688

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Solution

The third proportional to 592,905,658 and 1,287,876,688 is: 2,797,454,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,905,658 : 1,287,876,688 = 1,287,876,688 : x
  2. Step 2: Convert to fraction form
    592,905,658/1,287,876,688 = 1,287,876,688/x
  3. Step 3: Cross multiply
    592,905,658x = 1,287,876,688 × 1,287,876,688
  4. Step 4: Simplify right side
    592,905,658x = 1,658,626,363,493,849,344
  5. Step 5: Solve for x
    x = 1,658,626,363,493,849,344/592,905,658
  6. Step 6: Final answer
    x = 2,797,454,099.34

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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.