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Finding the Third Proportional to 663,567 and 1,451,319

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Solution

The third proportional to 663,567 and 1,451,319 is: 3,174,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,567 : 1,451,319 = 1,451,319 : x
  2. Step 2: Convert to fraction form
    663,567/1,451,319 = 1,451,319/x
  3. Step 3: Cross multiply
    663,567x = 1,451,319 × 1,451,319
  4. Step 4: Simplify right side
    663,567x = 2,106,326,839,761
  5. Step 5: Solve for x
    x = 2,106,326,839,761/663,567
  6. Step 6: Final answer
    x = 3,174,248.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.