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Finding the Third Proportional to 876,087.25 and 1,280,870.25

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Solution

The third proportional to 876,087.25 and 1,280,870.25 is: 1,872,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,087.25 : 1,280,870.25 = 1,280,870.25 : x
  2. Step 2: Convert to fraction form
    876,087.25/1,280,870.25 = 1,280,870.25/x
  3. Step 3: Cross multiply
    876,087.25x = 1,280,870.25 × 1,280,870.25
  4. Step 4: Simplify right side
    876,087.25x = 1,640,628,597,335.06
  5. Step 5: Solve for x
    x = 1,640,628,597,335.06/876,087.25
  6. Step 6: Final answer
    x = 1,872,677.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.