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Finding the Third Proportional to 871,894 and 1,881,382

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Solution

The third proportional to 871,894 and 1,881,382 is: 4,059,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,894 : 1,881,382 = 1,881,382 : x
  2. Step 2: Convert to fraction form
    871,894/1,881,382 = 1,881,382/x
  3. Step 3: Cross multiply
    871,894x = 1,881,382 × 1,881,382
  4. Step 4: Simplify right side
    871,894x = 3,539,598,229,924
  5. Step 5: Solve for x
    x = 3,539,598,229,924/871,894
  6. Step 6: Final answer
    x = 4,059,665.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.