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Finding the Third Proportional to 598,502 and 1,281,073

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Solution

The third proportional to 598,502 and 1,281,073 is: 2,742,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,502 : 1,281,073 = 1,281,073 : x
  2. Step 2: Convert to fraction form
    598,502/1,281,073 = 1,281,073/x
  3. Step 3: Cross multiply
    598,502x = 1,281,073 × 1,281,073
  4. Step 4: Simplify right side
    598,502x = 1,641,148,031,329
  5. Step 5: Solve for x
    x = 1,641,148,031,329/598,502
  6. Step 6: Final answer
    x = 2,742,092.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.