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Finding the Third Proportional to 977,832 and 1,437,481.13

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Solution

The third proportional to 977,832 and 1,437,481.13 is: 2,113,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,832 : 1,437,481.13 = 1,437,481.13 : x
  2. Step 2: Convert to fraction form
    977,832/1,437,481.13 = 1,437,481.13/x
  3. Step 3: Cross multiply
    977,832x = 1,437,481.13 × 1,437,481.13
  4. Step 4: Simplify right side
    977,832x = 2,066,351,984,731.27
  5. Step 5: Solve for x
    x = 2,066,351,984,731.27/977,832
  6. Step 6: Final answer
    x = 2,113,197.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.