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Finding the Third Proportional to 902,751.75 and 1,402,332.75

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Solution

The third proportional to 902,751.75 and 1,402,332.75 is: 2,178,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,751.75 : 1,402,332.75 = 1,402,332.75 : x
  2. Step 2: Convert to fraction form
    902,751.75/1,402,332.75 = 1,402,332.75/x
  3. Step 3: Cross multiply
    902,751.75x = 1,402,332.75 × 1,402,332.75
  4. Step 4: Simplify right side
    902,751.75x = 1,966,537,141,722.56
  5. Step 5: Solve for x
    x = 1,966,537,141,722.56/902,751.75
  6. Step 6: Final answer
    x = 2,178,380.87

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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.