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Finding the Third Proportional to 869,775.75 and 1,868,276.25

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Solution

The third proportional to 869,775.75 and 1,868,276.25 is: 4,013,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,775.75 : 1,868,276.25 = 1,868,276.25 : x
  2. Step 2: Convert to fraction form
    869,775.75/1,868,276.25 = 1,868,276.25/x
  3. Step 3: Cross multiply
    869,775.75x = 1,868,276.25 × 1,868,276.25
  4. Step 4: Simplify right side
    869,775.75x = 3,490,456,146,314.06
  5. Step 5: Solve for x
    x = 3,490,456,146,314.06/869,775.75
  6. Step 6: Final answer
    x = 4,013,052.96

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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.