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Finding the Third Proportional to 2,872,486.50 and 4,368,414

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Solution

The third proportional to 2,872,486.50 and 4,368,414 is: 6,643,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872,486.50 : 4,368,414 = 4,368,414 : x
  2. Step 2: Convert to fraction form
    2,872,486.50/4,368,414 = 4,368,414/x
  3. Step 3: Cross multiply
    2,872,486.50x = 4,368,414 × 4,368,414
  4. Step 4: Simplify right side
    2,872,486.50x = 19,083,040,875,396
  5. Step 5: Solve for x
    x = 19,083,040,875,396/2,872,486.50
  6. Step 6: Final answer
    x = 6,643,387.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.