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Finding the Third Proportional to 986,784 and 2,125,833

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Solution

The third proportional to 986,784 and 2,125,833 is: 4,579,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,784 : 2,125,833 = 2,125,833 : x
  2. Step 2: Convert to fraction form
    986,784/2,125,833 = 2,125,833/x
  3. Step 3: Cross multiply
    986,784x = 2,125,833 × 2,125,833
  4. Step 4: Simplify right side
    986,784x = 4,519,165,943,889
  5. Step 5: Solve for x
    x = 4,519,165,943,889/986,784
  6. Step 6: Final answer
    x = 4,579,691.14

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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.