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Finding the Third Proportional to 654,708 and 1,412,700

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Solution

The third proportional to 654,708 and 1,412,700 is: 3,048,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,708 : 1,412,700 = 1,412,700 : x
  2. Step 2: Convert to fraction form
    654,708/1,412,700 = 1,412,700/x
  3. Step 3: Cross multiply
    654,708x = 1,412,700 × 1,412,700
  4. Step 4: Simplify right side
    654,708x = 1,995,721,290,000
  5. Step 5: Solve for x
    x = 1,995,721,290,000/654,708
  6. Step 6: Final answer
    x = 3,048,261.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.