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Finding the Third Proportional to 982,973 and 2,116,723

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Solution

The third proportional to 982,973 and 2,116,723 is: 4,558,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,973 : 2,116,723 = 2,116,723 : x
  2. Step 2: Convert to fraction form
    982,973/2,116,723 = 2,116,723/x
  3. Step 3: Cross multiply
    982,973x = 2,116,723 × 2,116,723
  4. Step 4: Simplify right side
    982,973x = 4,480,516,258,729
  5. Step 5: Solve for x
    x = 4,480,516,258,729/982,973
  6. Step 6: Final answer
    x = 4,558,127.50

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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.