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Finding the Third Proportional to 986,299 and 2,124,959

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Solution

The third proportional to 986,299 and 2,124,959 is: 4,578,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,299 : 2,124,959 = 2,124,959 : x
  2. Step 2: Convert to fraction form
    986,299/2,124,959 = 2,124,959/x
  3. Step 3: Cross multiply
    986,299x = 2,124,959 × 2,124,959
  4. Step 4: Simplify right side
    986,299x = 4,515,450,751,681
  5. Step 5: Solve for x
    x = 4,515,450,751,681/986,299
  6. Step 6: Final answer
    x = 4,578,176.35

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Why These Related Problems?

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