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Finding the Third Proportional to 397,068 and 849,540

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Solution

The third proportional to 397,068 and 849,540 is: 1,817,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,068 : 849,540 = 849,540 : x
  2. Step 2: Convert to fraction form
    397,068/849,540 = 849,540/x
  3. Step 3: Cross multiply
    397,068x = 849,540 × 849,540
  4. Step 4: Simplify right side
    397,068x = 721,718,211,600
  5. Step 5: Solve for x
    x = 721,718,211,600/397,068
  6. Step 6: Final answer
    x = 1,817,618.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.