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Finding the Third Proportional to 930,706,464 and 1,443,092,416

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Solution

The third proportional to 930,706,464 and 1,443,092,416 is: 2,237,564,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,706,464 : 1,443,092,416 = 1,443,092,416 : x
  2. Step 2: Convert to fraction form
    930,706,464/1,443,092,416 = 1,443,092,416/x
  3. Step 3: Cross multiply
    930,706,464x = 1,443,092,416 × 1,443,092,416
  4. Step 4: Simplify right side
    930,706,464x = 2,082,515,721,116,717,056
  5. Step 5: Solve for x
    x = 2,082,515,721,116,717,056/930,706,464
  6. Step 6: Final answer
    x = 2,237,564,475.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.