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Finding the Third Proportional to 482,547 and 1,060,269

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Solution

The third proportional to 482,547 and 1,060,269 is: 2,329,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,547 : 1,060,269 = 1,060,269 : x
  2. Step 2: Convert to fraction form
    482,547/1,060,269 = 1,060,269/x
  3. Step 3: Cross multiply
    482,547x = 1,060,269 × 1,060,269
  4. Step 4: Simplify right side
    482,547x = 1,124,170,352,361
  5. Step 5: Solve for x
    x = 1,124,170,352,361/482,547
  6. Step 6: Final answer
    x = 2,329,659.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.