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Finding the Third Proportional to 1,155,859.88 and 1,840,811.06

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Solution

The third proportional to 1,155,859.88 and 1,840,811.06 is: 2,931,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155,859.88 : 1,840,811.06 = 1,840,811.06 : x
  2. Step 2: Convert to fraction form
    1,155,859.88/1,840,811.06 = 1,840,811.06/x
  3. Step 3: Cross multiply
    1,155,859.88x = 1,840,811.06 × 1,840,811.06
  4. Step 4: Simplify right side
    1,155,859.88x = 3,388,585,367,822.38
  5. Step 5: Solve for x
    x = 3,388,585,367,822.38/1,155,859.88
  6. Step 6: Final answer
    x = 2,931,657.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.