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Finding the Third Proportional to 324,788,808 and 766,443,459

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Solution

The third proportional to 324,788,808 and 766,443,459 is: 1,808,669,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,788,808 : 766,443,459 = 766,443,459 : x
  2. Step 2: Convert to fraction form
    324,788,808/766,443,459 = 766,443,459/x
  3. Step 3: Cross multiply
    324,788,808x = 766,443,459 × 766,443,459
  4. Step 4: Simplify right side
    324,788,808x = 587,435,575,843,884,672
  5. Step 5: Solve for x
    x = 587,435,575,843,884,672/324,788,808
  6. Step 6: Final answer
    x = 1,808,669,391.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.