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Finding the Third Proportional to 1,049,765.06 and 2,302,921.13

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Solution

The third proportional to 1,049,765.06 and 2,302,921.13 is: 5,052,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,765.06 : 2,302,921.13 = 2,302,921.13 : x
  2. Step 2: Convert to fraction form
    1,049,765.06/2,302,921.13 = 2,302,921.13/x
  3. Step 3: Cross multiply
    1,049,765.06x = 2,302,921.13 × 2,302,921.13
  4. Step 4: Simplify right side
    1,049,765.06x = 5,303,445,707,971.27
  5. Step 5: Solve for x
    x = 5,303,445,707,971.27/1,049,765.06
  6. Step 6: Final answer
    x = 5,052,031.07

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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.