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Finding the Third Proportional to 977,928 and 2,016,768

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Solution

The third proportional to 977,928 and 2,016,768 is: 4,159,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,928 : 2,016,768 = 2,016,768 : x
  2. Step 2: Convert to fraction form
    977,928/2,016,768 = 2,016,768/x
  3. Step 3: Cross multiply
    977,928x = 2,016,768 × 2,016,768
  4. Step 4: Simplify right side
    977,928x = 4,067,353,165,824
  5. Step 5: Solve for x
    x = 4,067,353,165,824/977,928
  6. Step 6: Final answer
    x = 4,159,154.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.