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Finding the Third Proportional to 1,055,369.25 and 1,634,742

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Solution

The third proportional to 1,055,369.25 and 1,634,742 is: 2,532,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055,369.25 : 1,634,742 = 1,634,742 : x
  2. Step 2: Convert to fraction form
    1,055,369.25/1,634,742 = 1,634,742/x
  3. Step 3: Cross multiply
    1,055,369.25x = 1,634,742 × 1,634,742
  4. Step 4: Simplify right side
    1,055,369.25x = 2,672,381,406,564
  5. Step 5: Solve for x
    x = 2,672,381,406,564/1,055,369.25
  6. Step 6: Final answer
    x = 2,532,176.68

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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.