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Finding the Third Proportional to 1,031,410.97 and 2,254,500.84

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Solution

The third proportional to 1,031,410.97 and 2,254,500.84 is: 4,927,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,410.97 : 2,254,500.84 = 2,254,500.84 : x
  2. Step 2: Convert to fraction form
    1,031,410.97/2,254,500.84 = 2,254,500.84/x
  3. Step 3: Cross multiply
    1,031,410.97x = 2,254,500.84 × 2,254,500.84
  4. Step 4: Simplify right side
    1,031,410.97x = 5,082,774,054,469.46
  5. Step 5: Solve for x
    x = 5,082,774,054,469.46/1,031,410.97
  6. Step 6: Final answer
    x = 4,927,981.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.