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Finding the Third Proportional to 601,822 and 1,298,436

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Solution

The third proportional to 601,822 and 1,298,436 is: 2,801,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,822 : 1,298,436 = 1,298,436 : x
  2. Step 2: Convert to fraction form
    601,822/1,298,436 = 1,298,436/x
  3. Step 3: Cross multiply
    601,822x = 1,298,436 × 1,298,436
  4. Step 4: Simplify right side
    601,822x = 1,685,936,046,096
  5. Step 5: Solve for x
    x = 1,685,936,046,096/601,822
  6. Step 6: Final answer
    x = 2,801,386.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.