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Finding the Third Proportional to 636,098 and 891,483

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Solution

The third proportional to 636,098 and 891,483 is: 1,249,401.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,098 : 891,483 = 891,483 : x
  2. Step 2: Convert to fraction form
    636,098/891,483 = 891,483/x
  3. Step 3: Cross multiply
    636,098x = 891,483 × 891,483
  4. Step 4: Simplify right side
    636,098x = 794,741,939,289
  5. Step 5: Solve for x
    x = 794,741,939,289/636,098
  6. Step 6: Final answer
    x = 1,249,401.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.