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Finding the Third Proportional to 810,068 and 1,875,374

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Solution

The third proportional to 810,068 and 1,875,374 is: 4,341,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,068 : 1,875,374 = 1,875,374 : x
  2. Step 2: Convert to fraction form
    810,068/1,875,374 = 1,875,374/x
  3. Step 3: Cross multiply
    810,068x = 1,875,374 × 1,875,374
  4. Step 4: Simplify right side
    810,068x = 3,517,027,639,876
  5. Step 5: Solve for x
    x = 3,517,027,639,876/810,068
  6. Step 6: Final answer
    x = 4,341,644.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.