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Finding the Third Proportional to 592,896,644 and 1,287,858,358

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Solution

The third proportional to 592,896,644 and 1,287,858,358 is: 2,797,416,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,896,644 : 1,287,858,358 = 1,287,858,358 : x
  2. Step 2: Convert to fraction form
    592,896,644/1,287,858,358 = 1,287,858,358/x
  3. Step 3: Cross multiply
    592,896,644x = 1,287,858,358 × 1,287,858,358
  4. Step 4: Simplify right side
    592,896,644x = 1,658,579,150,270,456,064
  5. Step 5: Solve for x
    x = 1,658,579,150,270,456,064/592,896,644
  6. Step 6: Final answer
    x = 2,797,416,998.49

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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.