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Finding the Third Proportional to 416,296.13 and 891,627.75

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Solution

The third proportional to 416,296.13 and 891,627.75 is: 1,909,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,296.13 : 891,627.75 = 891,627.75 : x
  2. Step 2: Convert to fraction form
    416,296.13/891,627.75 = 891,627.75/x
  3. Step 3: Cross multiply
    416,296.13x = 891,627.75 × 891,627.75
  4. Step 4: Simplify right side
    416,296.13x = 795,000,044,570.06
  5. Step 5: Solve for x
    x = 795,000,044,570.06/416,296.13
  6. Step 6: Final answer
    x = 1,909,698.40

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.