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Finding the Third Proportional to 611,708 and 1,266,424

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Solution

The third proportional to 611,708 and 1,266,424 is: 2,621,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,708 : 1,266,424 = 1,266,424 : x
  2. Step 2: Convert to fraction form
    611,708/1,266,424 = 1,266,424/x
  3. Step 3: Cross multiply
    611,708x = 1,266,424 × 1,266,424
  4. Step 4: Simplify right side
    611,708x = 1,603,829,747,776
  5. Step 5: Solve for x
    x = 1,603,829,747,776/611,708
  6. Step 6: Final answer
    x = 2,621,887.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.