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Finding the Third Proportional to 882,581 and 1,363,811

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Solution

The third proportional to 882,581 and 1,363,811 is: 2,107,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,581 : 1,363,811 = 1,363,811 : x
  2. Step 2: Convert to fraction form
    882,581/1,363,811 = 1,363,811/x
  3. Step 3: Cross multiply
    882,581x = 1,363,811 × 1,363,811
  4. Step 4: Simplify right side
    882,581x = 1,859,980,443,721
  5. Step 5: Solve for x
    x = 1,859,980,443,721/882,581
  6. Step 6: Final answer
    x = 2,107,433.13

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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.