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Finding the Third Proportional to 524,957 and 1,124,263

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Solution

The third proportional to 524,957 and 1,124,263 is: 2,407,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,957 : 1,124,263 = 1,124,263 : x
  2. Step 2: Convert to fraction form
    524,957/1,124,263 = 1,124,263/x
  3. Step 3: Cross multiply
    524,957x = 1,124,263 × 1,124,263
  4. Step 4: Simplify right side
    524,957x = 1,263,967,293,169
  5. Step 5: Solve for x
    x = 1,263,967,293,169/524,957
  6. Step 6: Final answer
    x = 2,407,753.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.