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Finding the Third Proportional to 520,805 and 1,141,321

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Solution

The third proportional to 520,805 and 1,141,321 is: 2,501,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,805 : 1,141,321 = 1,141,321 : x
  2. Step 2: Convert to fraction form
    520,805/1,141,321 = 1,141,321/x
  3. Step 3: Cross multiply
    520,805x = 1,141,321 × 1,141,321
  4. Step 4: Simplify right side
    520,805x = 1,302,613,625,041
  5. Step 5: Solve for x
    x = 1,302,613,625,041/520,805
  6. Step 6: Final answer
    x = 2,501,154.22

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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.