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Finding the Third Proportional to 415,782 and 881,004

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Solution

The third proportional to 415,782 and 881,004 is: 1,866,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,782 : 881,004 = 881,004 : x
  2. Step 2: Convert to fraction form
    415,782/881,004 = 881,004/x
  3. Step 3: Cross multiply
    415,782x = 881,004 × 881,004
  4. Step 4: Simplify right side
    415,782x = 776,168,048,016
  5. Step 5: Solve for x
    x = 776,168,048,016/415,782
  6. Step 6: Final answer
    x = 1,866,766.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.