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Finding the Third Proportional to 1,487,403 and 3,053,214

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Solution

The third proportional to 1,487,403 and 3,053,214 is: 6,267,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487,403 : 3,053,214 = 3,053,214 : x
  2. Step 2: Convert to fraction form
    1,487,403/3,053,214 = 3,053,214/x
  3. Step 3: Cross multiply
    1,487,403x = 3,053,214 × 3,053,214
  4. Step 4: Simplify right side
    1,487,403x = 9,322,115,729,796
  5. Step 5: Solve for x
    x = 9,322,115,729,796/1,487,403
  6. Step 6: Final answer
    x = 6,267,377.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.