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Finding the Third Proportional to 442,473,460 and 637,397,934

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Solution

The third proportional to 442,473,460 and 637,397,934 is: 918,193,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,473,460 : 637,397,934 = 637,397,934 : x
  2. Step 2: Convert to fraction form
    442,473,460/637,397,934 = 637,397,934/x
  3. Step 3: Cross multiply
    442,473,460x = 637,397,934 × 637,397,934
  4. Step 4: Simplify right side
    442,473,460x = 406,276,126,267,468,352
  5. Step 5: Solve for x
    x = 406,276,126,267,468,352/442,473,460
  6. Step 6: Final answer
    x = 918,193,209.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.