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Finding the Third Proportional to 972,265.50 and 1,400,487.38

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Solution

The third proportional to 972,265.50 and 1,400,487.38 is: 2,017,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,265.50 : 1,400,487.38 = 1,400,487.38 : x
  2. Step 2: Convert to fraction form
    972,265.50/1,400,487.38 = 1,400,487.38/x
  3. Step 3: Cross multiply
    972,265.50x = 1,400,487.38 × 1,400,487.38
  4. Step 4: Simplify right side
    972,265.50x = 1,961,364,887,534.39
  5. Step 5: Solve for x
    x = 1,961,364,887,534.39/972,265.50
  6. Step 6: Final answer
    x = 2,017,314.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.