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Finding the Third Proportional to 748,422 and 1,646,288

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Solution

The third proportional to 748,422 and 1,646,288 is: 3,621,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,422 : 1,646,288 = 1,646,288 : x
  2. Step 2: Convert to fraction form
    748,422/1,646,288 = 1,646,288/x
  3. Step 3: Cross multiply
    748,422x = 1,646,288 × 1,646,288
  4. Step 4: Simplify right side
    748,422x = 2,710,264,178,944
  5. Step 5: Solve for x
    x = 2,710,264,178,944/748,422
  6. Step 6: Final answer
    x = 3,621,304.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.