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Finding the Third Proportional to 599,160 and 1,282,224

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Solution

The third proportional to 599,160 and 1,282,224 is: 2,744,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,160 : 1,282,224 = 1,282,224 : x
  2. Step 2: Convert to fraction form
    599,160/1,282,224 = 1,282,224/x
  3. Step 3: Cross multiply
    599,160x = 1,282,224 × 1,282,224
  4. Step 4: Simplify right side
    599,160x = 1,644,098,386,176
  5. Step 5: Solve for x
    x = 1,644,098,386,176/599,160
  6. Step 6: Final answer
    x = 2,744,005.58

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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.