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Finding the Third Proportional to 866,420 and 2,087,312

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Solution

The third proportional to 866,420 and 2,087,312 is: 5,028,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,420 : 2,087,312 = 2,087,312 : x
  2. Step 2: Convert to fraction form
    866,420/2,087,312 = 2,087,312/x
  3. Step 3: Cross multiply
    866,420x = 2,087,312 × 2,087,312
  4. Step 4: Simplify right side
    866,420x = 4,356,871,385,344
  5. Step 5: Solve for x
    x = 4,356,871,385,344/866,420
  6. Step 6: Final answer
    x = 5,028,590.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.