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Finding the Third Proportional to 668,986.59 and 1,019,164.78

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Solution

The third proportional to 668,986.59 and 1,019,164.78 is: 1,552,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,986.59 : 1,019,164.78 = 1,019,164.78 : x
  2. Step 2: Convert to fraction form
    668,986.59/1,019,164.78 = 1,019,164.78/x
  3. Step 3: Cross multiply
    668,986.59x = 1,019,164.78 × 1,019,164.78
  4. Step 4: Simplify right side
    668,986.59x = 1,038,696,851,340.36
  5. Step 5: Solve for x
    x = 1,038,696,851,340.36/668,986.59
  6. Step 6: Final answer
    x = 1,552,642.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.