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Finding the Third Proportional to 528,977.25 and 1,159,363.13

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Solution

The third proportional to 528,977.25 and 1,159,363.13 is: 2,540,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,977.25 : 1,159,363.13 = 1,159,363.13 : x
  2. Step 2: Convert to fraction form
    528,977.25/1,159,363.13 = 1,159,363.13/x
  3. Step 3: Cross multiply
    528,977.25x = 1,159,363.13 × 1,159,363.13
  4. Step 4: Simplify right side
    528,977.25x = 1,344,122,855,609.77
  5. Step 5: Solve for x
    x = 1,344,122,855,609.77/528,977.25
  6. Step 6: Final answer
    x = 2,540,984.24

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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.