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Finding the Third Proportional to 649,756 and 1,000,008

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Solution

The third proportional to 649,756 and 1,000,008 is: 1,539,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,756 : 1,000,008 = 1,000,008 : x
  2. Step 2: Convert to fraction form
    649,756/1,000,008 = 1,000,008/x
  3. Step 3: Cross multiply
    649,756x = 1,000,008 × 1,000,008
  4. Step 4: Simplify right side
    649,756x = 1,000,016,000,064
  5. Step 5: Solve for x
    x = 1,000,016,000,064/649,756
  6. Step 6: Final answer
    x = 1,539,063.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.