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Finding the Third Proportional to 661,593 and 1,435,210

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Solution

The third proportional to 661,593 and 1,435,210 is: 3,113,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,593 : 1,435,210 = 1,435,210 : x
  2. Step 2: Convert to fraction form
    661,593/1,435,210 = 1,435,210/x
  3. Step 3: Cross multiply
    661,593x = 1,435,210 × 1,435,210
  4. Step 4: Simplify right side
    661,593x = 2,059,827,744,100
  5. Step 5: Solve for x
    x = 2,059,827,744,100/661,593
  6. Step 6: Final answer
    x = 3,113,436.42

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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.