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Finding the Third Proportional to 766,547.30 and 1,660,069.69

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Solution

The third proportional to 766,547.30 and 1,660,069.69 is: 3,595,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,547.30 : 1,660,069.69 = 1,660,069.69 : x
  2. Step 2: Convert to fraction form
    766,547.30/1,660,069.69 = 1,660,069.69/x
  3. Step 3: Cross multiply
    766,547.30x = 1,660,069.69 × 1,660,069.69
  4. Step 4: Simplify right side
    766,547.30x = 2,755,831,367,356.35
  5. Step 5: Solve for x
    x = 2,755,831,367,356.35/766,547.30
  6. Step 6: Final answer
    x = 3,595,122.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.