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Finding the Third Proportional to 882,563 and 1,363,785

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Solution

The third proportional to 882,563 and 1,363,785 is: 2,107,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,563 : 1,363,785 = 1,363,785 : x
  2. Step 2: Convert to fraction form
    882,563/1,363,785 = 1,363,785/x
  3. Step 3: Cross multiply
    882,563x = 1,363,785 × 1,363,785
  4. Step 4: Simplify right side
    882,563x = 1,859,909,526,225
  5. Step 5: Solve for x
    x = 1,859,909,526,225/882,563
  6. Step 6: Final answer
    x = 2,107,395.76

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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.