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Finding the Third Proportional to 1,559,142 and 2,332,356.75

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Solution

The third proportional to 1,559,142 and 2,332,356.75 is: 3,489,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559,142 : 2,332,356.75 = 2,332,356.75 : x
  2. Step 2: Convert to fraction form
    1,559,142/2,332,356.75 = 2,332,356.75/x
  3. Step 3: Cross multiply
    1,559,142x = 2,332,356.75 × 2,332,356.75
  4. Step 4: Simplify right side
    1,559,142x = 5,439,888,009,270.56
  5. Step 5: Solve for x
    x = 5,439,888,009,270.56/1,559,142
  6. Step 6: Final answer
    x = 3,489,026.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.