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Finding the Third Proportional to 652,926 and 998,707

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Solution

The third proportional to 652,926 and 998,707 is: 1,527,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,926 : 998,707 = 998,707 : x
  2. Step 2: Convert to fraction form
    652,926/998,707 = 998,707/x
  3. Step 3: Cross multiply
    652,926x = 998,707 × 998,707
  4. Step 4: Simplify right side
    652,926x = 997,415,671,849
  5. Step 5: Solve for x
    x = 997,415,671,849/652,926
  6. Step 6: Final answer
    x = 1,527,609.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.