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Finding the Third Proportional to 649,758 and 1,000,011

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Solution

The third proportional to 649,758 and 1,000,011 is: 1,539,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,758 : 1,000,011 = 1,000,011 : x
  2. Step 2: Convert to fraction form
    649,758/1,000,011 = 1,000,011/x
  3. Step 3: Cross multiply
    649,758x = 1,000,011 × 1,000,011
  4. Step 4: Simplify right side
    649,758x = 1,000,022,000,121
  5. Step 5: Solve for x
    x = 1,000,022,000,121/649,758
  6. Step 6: Final answer
    x = 1,539,068.39

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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.