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Finding the Third Proportional to 461,565 and 969,781.50

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Solution

The third proportional to 461,565 and 969,781.50 is: 2,037,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,565 : 969,781.50 = 969,781.50 : x
  2. Step 2: Convert to fraction form
    461,565/969,781.50 = 969,781.50/x
  3. Step 3: Cross multiply
    461,565x = 969,781.50 × 969,781.50
  4. Step 4: Simplify right side
    461,565x = 940,476,157,742.25
  5. Step 5: Solve for x
    x = 940,476,157,742.25/461,565
  6. Step 6: Final answer
    x = 2,037,581.18

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.