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Finding the Third Proportional to 661,196 and 1,432,264

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Solution

The third proportional to 661,196 and 1,432,264 is: 3,102,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,196 : 1,432,264 = 1,432,264 : x
  2. Step 2: Convert to fraction form
    661,196/1,432,264 = 1,432,264/x
  3. Step 3: Cross multiply
    661,196x = 1,432,264 × 1,432,264
  4. Step 4: Simplify right side
    661,196x = 2,051,380,165,696
  5. Step 5: Solve for x
    x = 2,051,380,165,696/661,196
  6. Step 6: Final answer
    x = 3,102,529.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.