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Finding the Third Proportional to 656,131 and 1,364,613

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Solution

The third proportional to 656,131 and 1,364,613 is: 2,838,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,131 : 1,364,613 = 1,364,613 : x
  2. Step 2: Convert to fraction form
    656,131/1,364,613 = 1,364,613/x
  3. Step 3: Cross multiply
    656,131x = 1,364,613 × 1,364,613
  4. Step 4: Simplify right side
    656,131x = 1,862,168,639,769
  5. Step 5: Solve for x
    x = 1,862,168,639,769/656,131
  6. Step 6: Final answer
    x = 2,838,104.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.