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Finding the Third Proportional to 524,196 and 1,232,154

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Solution

The third proportional to 524,196 and 1,232,154 is: 2,896,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,196 : 1,232,154 = 1,232,154 : x
  2. Step 2: Convert to fraction form
    524,196/1,232,154 = 1,232,154/x
  3. Step 3: Cross multiply
    524,196x = 1,232,154 × 1,232,154
  4. Step 4: Simplify right side
    524,196x = 1,518,203,479,716
  5. Step 5: Solve for x
    x = 1,518,203,479,716/524,196
  6. Step 6: Final answer
    x = 2,896,251.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.