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Finding the Third Proportional to 1,053,481.22 and 2,312,017.73

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Solution

The third proportional to 1,053,481.22 and 2,312,017.73 is: 5,074,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,481.22 : 2,312,017.73 = 2,312,017.73 : x
  2. Step 2: Convert to fraction form
    1,053,481.22/2,312,017.73 = 2,312,017.73/x
  3. Step 3: Cross multiply
    1,053,481.22x = 2,312,017.73 × 2,312,017.73
  4. Step 4: Simplify right side
    1,053,481.22x = 5,345,426,004,064.51
  5. Step 5: Solve for x
    x = 5,345,426,004,064.51/1,053,481.22
  6. Step 6: Final answer
    x = 5,074,059.14

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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.