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Finding the Third Proportional to 641,506 and 896,866

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Solution

The third proportional to 641,506 and 896,866 is: 1,253,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,506 : 896,866 = 896,866 : x
  2. Step 2: Convert to fraction form
    641,506/896,866 = 896,866/x
  3. Step 3: Cross multiply
    641,506x = 896,866 × 896,866
  4. Step 4: Simplify right side
    641,506x = 804,368,621,956
  5. Step 5: Solve for x
    x = 804,368,621,956/641,506
  6. Step 6: Final answer
    x = 1,253,875.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.