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Finding the Third Proportional to 649,754 and 1,000,005

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Solution

The third proportional to 649,754 and 1,000,005 is: 1,539,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,754 : 1,000,005 = 1,000,005 : x
  2. Step 2: Convert to fraction form
    649,754/1,000,005 = 1,000,005/x
  3. Step 3: Cross multiply
    649,754x = 1,000,005 × 1,000,005
  4. Step 4: Simplify right side
    649,754x = 1,000,010,000,025
  5. Step 5: Solve for x
    x = 1,000,010,000,025/649,754
  6. Step 6: Final answer
    x = 1,539,059.40

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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.