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Finding the Third Proportional to 986,656 and 2,126,896

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Solution

The third proportional to 986,656 and 2,126,896 is: 4,584,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,656 : 2,126,896 = 2,126,896 : x
  2. Step 2: Convert to fraction form
    986,656/2,126,896 = 2,126,896/x
  3. Step 3: Cross multiply
    986,656x = 2,126,896 × 2,126,896
  4. Step 4: Simplify right side
    986,656x = 4,523,686,594,816
  5. Step 5: Solve for x
    x = 4,523,686,594,816/986,656
  6. Step 6: Final answer
    x = 4,584,867.06

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Why These Related Problems?

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