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Finding the Third Proportional to 961,680 and 1,415,304

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Solution

The third proportional to 961,680 and 1,415,304 is: 2,082,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,680 : 1,415,304 = 1,415,304 : x
  2. Step 2: Convert to fraction form
    961,680/1,415,304 = 1,415,304/x
  3. Step 3: Cross multiply
    961,680x = 1,415,304 × 1,415,304
  4. Step 4: Simplify right side
    961,680x = 2,003,085,412,416
  5. Step 5: Solve for x
    x = 2,003,085,412,416/961,680
  6. Step 6: Final answer
    x = 2,082,902.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.