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Finding the Third Proportional to 1,211,746.71 and 1,876,200.47

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Solution

The third proportional to 1,211,746.71 and 1,876,200.47 is: 2,905,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,746.71 : 1,876,200.47 = 1,876,200.47 : x
  2. Step 2: Convert to fraction form
    1,211,746.71/1,876,200.47 = 1,876,200.47/x
  3. Step 3: Cross multiply
    1,211,746.71x = 1,876,200.47 × 1,876,200.47
  4. Step 4: Simplify right side
    1,211,746.71x = 3,520,128,198,937.72
  5. Step 5: Solve for x
    x = 3,520,128,198,937.72/1,211,746.71
  6. Step 6: Final answer
    x = 2,905,003.30

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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.