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Finding the Third Proportional to 765,045 and 1,681,074

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Solution

The third proportional to 765,045 and 1,681,074 is: 3,693,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,045 : 1,681,074 = 1,681,074 : x
  2. Step 2: Convert to fraction form
    765,045/1,681,074 = 1,681,074/x
  3. Step 3: Cross multiply
    765,045x = 1,681,074 × 1,681,074
  4. Step 4: Simplify right side
    765,045x = 2,826,009,793,476
  5. Step 5: Solve for x
    x = 2,826,009,793,476/765,045
  6. Step 6: Final answer
    x = 3,693,913.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.