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Finding the Third Proportional to 1,223,811.75 and 2,651,017.50

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Solution

The third proportional to 1,223,811.75 and 2,651,017.50 is: 5,742,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,811.75 : 2,651,017.50 = 2,651,017.50 : x
  2. Step 2: Convert to fraction form
    1,223,811.75/2,651,017.50 = 2,651,017.50/x
  3. Step 3: Cross multiply
    1,223,811.75x = 2,651,017.50 × 2,651,017.50
  4. Step 4: Simplify right side
    1,223,811.75x = 7,027,893,785,306.25
  5. Step 5: Solve for x
    x = 7,027,893,785,306.25/1,223,811.75
  6. Step 6: Final answer
    x = 5,742,626.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.