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Finding the Third Proportional to 661,216 and 1,432,320

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Solution

The third proportional to 661,216 and 1,432,320 is: 3,102,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,216 : 1,432,320 = 1,432,320 : x
  2. Step 2: Convert to fraction form
    661,216/1,432,320 = 1,432,320/x
  3. Step 3: Cross multiply
    661,216x = 1,432,320 × 1,432,320
  4. Step 4: Simplify right side
    661,216x = 2,051,540,582,400
  5. Step 5: Solve for x
    x = 2,051,540,582,400/661,216
  6. Step 6: Final answer
    x = 3,102,678.37

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Why These Related Problems?

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