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Finding the Third Proportional to 1,113,770.25 and 1,737,176.63

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Solution

The third proportional to 1,113,770.25 and 1,737,176.63 is: 2,709,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113,770.25 : 1,737,176.63 = 1,737,176.63 : x
  2. Step 2: Convert to fraction form
    1,113,770.25/1,737,176.63 = 1,737,176.63/x
  3. Step 3: Cross multiply
    1,113,770.25x = 1,737,176.63 × 1,737,176.63
  4. Step 4: Simplify right side
    1,113,770.25x = 3,017,782,626,446.39
  5. Step 5: Solve for x
    x = 3,017,782,626,446.39/1,113,770.25
  6. Step 6: Final answer
    x = 2,709,519.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.