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Finding the Third Proportional to 1,480,423.50 and 2,006,059.50

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Solution

The third proportional to 1,480,423.50 and 2,006,059.50 is: 2,718,326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,423.50 : 2,006,059.50 = 2,006,059.50 : x
  2. Step 2: Convert to fraction form
    1,480,423.50/2,006,059.50 = 2,006,059.50/x
  3. Step 3: Cross multiply
    1,480,423.50x = 2,006,059.50 × 2,006,059.50
  4. Step 4: Simplify right side
    1,480,423.50x = 4,024,274,717,540.25
  5. Step 5: Solve for x
    x = 4,024,274,717,540.25/1,480,423.50
  6. Step 6: Final answer
    x = 2,718,326.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.