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Finding the Third Proportional to 866,109 and 1,360,561.50

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Solution

The third proportional to 866,109 and 1,360,561.50 is: 2,137,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,109 : 1,360,561.50 = 1,360,561.50 : x
  2. Step 2: Convert to fraction form
    866,109/1,360,561.50 = 1,360,561.50/x
  3. Step 3: Cross multiply
    866,109x = 1,360,561.50 × 1,360,561.50
  4. Step 4: Simplify right side
    866,109x = 1,851,127,595,282.25
  5. Step 5: Solve for x
    x = 1,851,127,595,282.25/866,109
  6. Step 6: Final answer
    x = 2,137,291.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.