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Finding the Third Proportional to 410,487 and 882,102

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Solution

The third proportional to 410,487 and 882,102 is: 1,895,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,487 : 882,102 = 882,102 : x
  2. Step 2: Convert to fraction form
    410,487/882,102 = 882,102/x
  3. Step 3: Cross multiply
    410,487x = 882,102 × 882,102
  4. Step 4: Simplify right side
    410,487x = 778,103,938,404
  5. Step 5: Solve for x
    x = 778,103,938,404/410,487
  6. Step 6: Final answer
    x = 1,895,562.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.