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Finding the Third Proportional to 462,930,512 and 705,248,692

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Solution

The third proportional to 462,930,512 and 705,248,692 is: 1,074,406,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,930,512 : 705,248,692 = 705,248,692 : x
  2. Step 2: Convert to fraction form
    462,930,512/705,248,692 = 705,248,692/x
  3. Step 3: Cross multiply
    462,930,512x = 705,248,692 × 705,248,692
  4. Step 4: Simplify right side
    462,930,512x = 497,375,717,567,710,848
  5. Step 5: Solve for x
    x = 497,375,717,567,710,848/462,930,512
  6. Step 6: Final answer
    x = 1,074,406,859.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.