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Finding the Third Proportional to 592,896,611 and 1,287,858,294

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Solution

The third proportional to 592,896,611 and 1,287,858,294 is: 2,797,416,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,896,611 : 1,287,858,294 = 1,287,858,294 : x
  2. Step 2: Convert to fraction form
    592,896,611/1,287,858,294 = 1,287,858,294/x
  3. Step 3: Cross multiply
    592,896,611x = 1,287,858,294 × 1,287,858,294
  4. Step 4: Simplify right side
    592,896,611x = 1,658,578,985,424,590,336
  5. Step 5: Solve for x
    x = 1,658,578,985,424,590,336/592,896,611
  6. Step 6: Final answer
    x = 2,797,416,876.15

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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.