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Finding the Third Proportional to 1,077,588 and 1,656,825

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Solution

The third proportional to 1,077,588 and 1,656,825 is: 2,547,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,588 : 1,656,825 = 1,656,825 : x
  2. Step 2: Convert to fraction form
    1,077,588/1,656,825 = 1,656,825/x
  3. Step 3: Cross multiply
    1,077,588x = 1,656,825 × 1,656,825
  4. Step 4: Simplify right side
    1,077,588x = 2,745,069,080,625
  5. Step 5: Solve for x
    x = 2,745,069,080,625/1,077,588
  6. Step 6: Final answer
    x = 2,547,419.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.