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Finding the Third Proportional to 622,986.75 and 975,979.13

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Solution

The third proportional to 622,986.75 and 975,979.13 is: 1,528,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,986.75 : 975,979.13 = 975,979.13 : x
  2. Step 2: Convert to fraction form
    622,986.75/975,979.13 = 975,979.13/x
  3. Step 3: Cross multiply
    622,986.75x = 975,979.13 × 975,979.13
  4. Step 4: Simplify right side
    622,986.75x = 952,535,252,435.77
  5. Step 5: Solve for x
    x = 952,535,252,435.77/622,986.75
  6. Step 6: Final answer
    x = 1,528,981.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.