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Finding the Third Proportional to 1,163,732.06 and 1,806,135.47

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Solution

The third proportional to 1,163,732.06 and 1,806,135.47 is: 2,803,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,732.06 : 1,806,135.47 = 1,806,135.47 : x
  2. Step 2: Convert to fraction form
    1,163,732.06/1,806,135.47 = 1,806,135.47/x
  3. Step 3: Cross multiply
    1,163,732.06x = 1,806,135.47 × 1,806,135.47
  4. Step 4: Simplify right side
    1,163,732.06x = 3,262,125,331,476.78
  5. Step 5: Solve for x
    x = 3,262,125,331,476.78/1,163,732.06
  6. Step 6: Final answer
    x = 2,803,158.42

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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.