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Finding the Third Proportional to 513,068 and 1,113,758

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Solution

The third proportional to 513,068 and 1,113,758 is: 2,417,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,068 : 1,113,758 = 1,113,758 : x
  2. Step 2: Convert to fraction form
    513,068/1,113,758 = 1,113,758/x
  3. Step 3: Cross multiply
    513,068x = 1,113,758 × 1,113,758
  4. Step 4: Simplify right side
    513,068x = 1,240,456,882,564
  5. Step 5: Solve for x
    x = 1,240,456,882,564/513,068
  6. Step 6: Final answer
    x = 2,417,724.13

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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.