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Finding the Third Proportional to 982,827 and 2,138,724

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Solution

The third proportional to 982,827 and 2,138,724 is: 4,654,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,827 : 2,138,724 = 2,138,724 : x
  2. Step 2: Convert to fraction form
    982,827/2,138,724 = 2,138,724/x
  3. Step 3: Cross multiply
    982,827x = 2,138,724 × 2,138,724
  4. Step 4: Simplify right side
    982,827x = 4,574,140,348,176
  5. Step 5: Solve for x
    x = 4,574,140,348,176/982,827
  6. Step 6: Final answer
    x = 4,654,064.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.