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Finding the Third Proportional to 1,205,749.13 and 1,866,153.94

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Solution

The third proportional to 1,205,749.13 and 1,866,153.94 is: 2,888,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,749.13 : 1,866,153.94 = 1,866,153.94 : x
  2. Step 2: Convert to fraction form
    1,205,749.13/1,866,153.94 = 1,866,153.94/x
  3. Step 3: Cross multiply
    1,205,749.13x = 1,866,153.94 × 1,866,153.94
  4. Step 4: Simplify right side
    1,205,749.13x = 3,482,530,518,446.75
  5. Step 5: Solve for x
    x = 3,482,530,518,446.75/1,205,749.13
  6. Step 6: Final answer
    x = 2,888,271.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.