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Finding the Third Proportional to 451,701 and 977,832

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Solution

The third proportional to 451,701 and 977,832 is: 2,116,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,701 : 977,832 = 977,832 : x
  2. Step 2: Convert to fraction form
    451,701/977,832 = 977,832/x
  3. Step 3: Cross multiply
    451,701x = 977,832 × 977,832
  4. Step 4: Simplify right side
    451,701x = 956,155,420,224
  5. Step 5: Solve for x
    x = 956,155,420,224/451,701
  6. Step 6: Final answer
    x = 2,116,788.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.