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Finding the Third Proportional to 588,604 and 1,270,466

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Solution

The third proportional to 588,604 and 1,270,466 is: 2,742,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,604 : 1,270,466 = 1,270,466 : x
  2. Step 2: Convert to fraction form
    588,604/1,270,466 = 1,270,466/x
  3. Step 3: Cross multiply
    588,604x = 1,270,466 × 1,270,466
  4. Step 4: Simplify right side
    588,604x = 1,614,083,857,156
  5. Step 5: Solve for x
    x = 1,614,083,857,156/588,604
  6. Step 6: Final answer
    x = 2,742,223.73

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Why These Related Problems?

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