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Finding the Third Proportional to 540,868 and 841,866

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Solution

The third proportional to 540,868 and 841,866 is: 1,310,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,868 : 841,866 = 841,866 : x
  2. Step 2: Convert to fraction form
    540,868/841,866 = 841,866/x
  3. Step 3: Cross multiply
    540,868x = 841,866 × 841,866
  4. Step 4: Simplify right side
    540,868x = 708,738,361,956
  5. Step 5: Solve for x
    x = 708,738,361,956/540,868
  6. Step 6: Final answer
    x = 1,310,372.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.