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Finding the Third Proportional to 560,880 and 1,216,394

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Solution

The third proportional to 560,880 and 1,216,394 is: 2,638,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,880 : 1,216,394 = 1,216,394 : x
  2. Step 2: Convert to fraction form
    560,880/1,216,394 = 1,216,394/x
  3. Step 3: Cross multiply
    560,880x = 1,216,394 × 1,216,394
  4. Step 4: Simplify right side
    560,880x = 1,479,614,363,236
  5. Step 5: Solve for x
    x = 1,479,614,363,236/560,880
  6. Step 6: Final answer
    x = 2,638,023.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.