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Finding the Third Proportional to 656,514 and 1,412,820

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Solution

The third proportional to 656,514 and 1,412,820 is: 3,040,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,514 : 1,412,820 = 1,412,820 : x
  2. Step 2: Convert to fraction form
    656,514/1,412,820 = 1,412,820/x
  3. Step 3: Cross multiply
    656,514x = 1,412,820 × 1,412,820
  4. Step 4: Simplify right side
    656,514x = 1,996,060,352,400
  5. Step 5: Solve for x
    x = 1,996,060,352,400/656,514
  6. Step 6: Final answer
    x = 3,040,392.67

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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.