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Finding the Third Proportional to 614,076 and 1,321,464

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Solution

The third proportional to 614,076 and 1,321,464 is: 2,843,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,076 : 1,321,464 = 1,321,464 : x
  2. Step 2: Convert to fraction form
    614,076/1,321,464 = 1,321,464/x
  3. Step 3: Cross multiply
    614,076x = 1,321,464 × 1,321,464
  4. Step 4: Simplify right side
    614,076x = 1,746,267,103,296
  5. Step 5: Solve for x
    x = 1,746,267,103,296/614,076
  6. Step 6: Final answer
    x = 2,843,731.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.