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Finding the Third Proportional to 649,752 and 1,000,001

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Solution

The third proportional to 649,752 and 1,000,001 is: 1,539,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,752 : 1,000,001 = 1,000,001 : x
  2. Step 2: Convert to fraction form
    649,752/1,000,001 = 1,000,001/x
  3. Step 3: Cross multiply
    649,752x = 1,000,001 × 1,000,001
  4. Step 4: Simplify right side
    649,752x = 1,000,002,000,001
  5. Step 5: Solve for x
    x = 1,000,002,000,001/649,752
  6. Step 6: Final answer
    x = 1,539,051.82

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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.