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Finding the Third Proportional to 856,076 and 1,327,394

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Solution

The third proportional to 856,076 and 1,327,394 is: 2,058,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,076 : 1,327,394 = 1,327,394 : x
  2. Step 2: Convert to fraction form
    856,076/1,327,394 = 1,327,394/x
  3. Step 3: Cross multiply
    856,076x = 1,327,394 × 1,327,394
  4. Step 4: Simplify right side
    856,076x = 1,761,974,831,236
  5. Step 5: Solve for x
    x = 1,761,974,831,236/856,076
  6. Step 6: Final answer
    x = 2,058,199.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.