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Finding the Third Proportional to 650,565 and 1,015,193.25

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Solution

The third proportional to 650,565 and 1,015,193.25 is: 1,584,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,565 : 1,015,193.25 = 1,015,193.25 : x
  2. Step 2: Convert to fraction form
    650,565/1,015,193.25 = 1,015,193.25/x
  3. Step 3: Cross multiply
    650,565x = 1,015,193.25 × 1,015,193.25
  4. Step 4: Simplify right side
    650,565x = 1,030,617,334,845.56
  5. Step 5: Solve for x
    x = 1,030,617,334,845.56/650,565
  6. Step 6: Final answer
    x = 1,584,188.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.