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Finding the Third Proportional to 802,662 and 1,070,577

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Solution

The third proportional to 802,662 and 1,070,577 is: 1,427,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,662 : 1,070,577 = 1,070,577 : x
  2. Step 2: Convert to fraction form
    802,662/1,070,577 = 1,070,577/x
  3. Step 3: Cross multiply
    802,662x = 1,070,577 × 1,070,577
  4. Step 4: Simplify right side
    802,662x = 1,146,135,112,929
  5. Step 5: Solve for x
    x = 1,146,135,112,929/802,662
  6. Step 6: Final answer
    x = 1,427,917.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.