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Finding the Third Proportional to 656,653 and 1,414,548

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Solution

The third proportional to 656,653 and 1,414,548 is: 3,047,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,653 : 1,414,548 = 1,414,548 : x
  2. Step 2: Convert to fraction form
    656,653/1,414,548 = 1,414,548/x
  3. Step 3: Cross multiply
    656,653x = 1,414,548 × 1,414,548
  4. Step 4: Simplify right side
    656,653x = 2,000,946,044,304
  5. Step 5: Solve for x
    x = 2,000,946,044,304/656,653
  6. Step 6: Final answer
    x = 3,047,189.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.