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Finding the Third Proportional to 663,342 and 1,000,563

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Solution

The third proportional to 663,342 and 1,000,563 is: 1,509,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,342 : 1,000,563 = 1,000,563 : x
  2. Step 2: Convert to fraction form
    663,342/1,000,563 = 1,000,563/x
  3. Step 3: Cross multiply
    663,342x = 1,000,563 × 1,000,563
  4. Step 4: Simplify right side
    663,342x = 1,001,126,316,969
  5. Step 5: Solve for x
    x = 1,001,126,316,969/663,342
  6. Step 6: Final answer
    x = 1,509,215.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.