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Finding the Third Proportional to 588,184 and 1,272,594

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Solution

The third proportional to 588,184 and 1,272,594 is: 2,753,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,184 : 1,272,594 = 1,272,594 : x
  2. Step 2: Convert to fraction form
    588,184/1,272,594 = 1,272,594/x
  3. Step 3: Cross multiply
    588,184x = 1,272,594 × 1,272,594
  4. Step 4: Simplify right side
    588,184x = 1,619,495,488,836
  5. Step 5: Solve for x
    x = 1,619,495,488,836/588,184
  6. Step 6: Final answer
    x = 2,753,382.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.