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Finding the Third Proportional to 1,081,644 and 1,681,464

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Solution

The third proportional to 1,081,644 and 1,681,464 is: 2,613,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,644 : 1,681,464 = 1,681,464 : x
  2. Step 2: Convert to fraction form
    1,081,644/1,681,464 = 1,681,464/x
  3. Step 3: Cross multiply
    1,081,644x = 1,681,464 × 1,681,464
  4. Step 4: Simplify right side
    1,081,644x = 2,827,321,183,296
  5. Step 5: Solve for x
    x = 2,827,321,183,296/1,081,644
  6. Step 6: Final answer
    x = 2,613,911.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.