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Finding the Third Proportional to 415,778 and 880,996

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Solution

The third proportional to 415,778 and 880,996 is: 1,866,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,778 : 880,996 = 880,996 : x
  2. Step 2: Convert to fraction form
    415,778/880,996 = 880,996/x
  3. Step 3: Cross multiply
    415,778x = 880,996 × 880,996
  4. Step 4: Simplify right side
    415,778x = 776,153,952,016
  5. Step 5: Solve for x
    x = 776,153,952,016/415,778
  6. Step 6: Final answer
    x = 1,866,750.89

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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.