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Finding the Third Proportional to 661,970 and 1,417,252

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Solution

The third proportional to 661,970 and 1,417,252 is: 3,034,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,970 : 1,417,252 = 1,417,252 : x
  2. Step 2: Convert to fraction form
    661,970/1,417,252 = 1,417,252/x
  3. Step 3: Cross multiply
    661,970x = 1,417,252 × 1,417,252
  4. Step 4: Simplify right side
    661,970x = 2,008,603,231,504
  5. Step 5: Solve for x
    x = 2,008,603,231,504/661,970
  6. Step 6: Final answer
    x = 3,034,281.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.