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Finding the Third Proportional to 1,109,585.25 and 1,670,756.63

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Solution

The third proportional to 1,109,585.25 and 1,670,756.63 is: 2,515,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,585.25 : 1,670,756.63 = 1,670,756.63 : x
  2. Step 2: Convert to fraction form
    1,109,585.25/1,670,756.63 = 1,670,756.63/x
  3. Step 3: Cross multiply
    1,109,585.25x = 1,670,756.63 × 1,670,756.63
  4. Step 4: Simplify right side
    1,109,585.25x = 2,791,427,699,981.39
  5. Step 5: Solve for x
    x = 2,791,427,699,981.39/1,109,585.25
  6. Step 6: Final answer
    x = 2,515,739.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.