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Finding the Third Proportional to 659,382 and 1,412,076

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Solution

The third proportional to 659,382 and 1,412,076 is: 3,023,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,382 : 1,412,076 = 1,412,076 : x
  2. Step 2: Convert to fraction form
    659,382/1,412,076 = 1,412,076/x
  3. Step 3: Cross multiply
    659,382x = 1,412,076 × 1,412,076
  4. Step 4: Simplify right side
    659,382x = 1,993,958,629,776
  5. Step 5: Solve for x
    x = 1,993,958,629,776/659,382
  6. Step 6: Final answer
    x = 3,023,980.98

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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.