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Finding the Third Proportional to 986,393 and 2,155,414

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Solution

The third proportional to 986,393 and 2,155,414 is: 4,709,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,393 : 2,155,414 = 2,155,414 : x
  2. Step 2: Convert to fraction form
    986,393/2,155,414 = 2,155,414/x
  3. Step 3: Cross multiply
    986,393x = 2,155,414 × 2,155,414
  4. Step 4: Simplify right side
    986,393x = 4,645,809,511,396
  5. Step 5: Solve for x
    x = 4,645,809,511,396/986,393
  6. Step 6: Final answer
    x = 4,709,897.08

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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.