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Finding the Third Proportional to 592,140 and 1,302,378

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Solution

The third proportional to 592,140 and 1,302,378 is: 2,864,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,140 : 1,302,378 = 1,302,378 : x
  2. Step 2: Convert to fraction form
    592,140/1,302,378 = 1,302,378/x
  3. Step 3: Cross multiply
    592,140x = 1,302,378 × 1,302,378
  4. Step 4: Simplify right side
    592,140x = 1,696,188,454,884
  5. Step 5: Solve for x
    x = 1,696,188,454,884/592,140
  6. Step 6: Final answer
    x = 2,864,505.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.