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Finding the Third Proportional to 869,724 and 1,868,062.50

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Solution

The third proportional to 869,724 and 1,868,062.50 is: 4,012,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,724 : 1,868,062.50 = 1,868,062.50 : x
  2. Step 2: Convert to fraction form
    869,724/1,868,062.50 = 1,868,062.50/x
  3. Step 3: Cross multiply
    869,724x = 1,868,062.50 × 1,868,062.50
  4. Step 4: Simplify right side
    869,724x = 3,489,657,503,906.25
  5. Step 5: Solve for x
    x = 3,489,657,503,906.25/869,724
  6. Step 6: Final answer
    x = 4,012,373.47

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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.