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Finding the Third Proportional to 867,756.75 and 1,868,863.50

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Solution

The third proportional to 867,756.75 and 1,868,863.50 is: 4,024,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,756.75 : 1,868,863.50 = 1,868,863.50 : x
  2. Step 2: Convert to fraction form
    867,756.75/1,868,863.50 = 1,868,863.50/x
  3. Step 3: Cross multiply
    867,756.75x = 1,868,863.50 × 1,868,863.50
  4. Step 4: Simplify right side
    867,756.75x = 3,492,650,781,632.25
  5. Step 5: Solve for x
    x = 3,492,650,781,632.25/867,756.75
  6. Step 6: Final answer
    x = 4,024,919.17

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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.