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Finding the Third Proportional to 1,002,262 and 2,185,420

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Solution

The third proportional to 1,002,262 and 2,185,420 is: 4,765,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,262 : 2,185,420 = 2,185,420 : x
  2. Step 2: Convert to fraction form
    1,002,262/2,185,420 = 2,185,420/x
  3. Step 3: Cross multiply
    1,002,262x = 2,185,420 × 2,185,420
  4. Step 4: Simplify right side
    1,002,262x = 4,776,060,576,400
  5. Step 5: Solve for x
    x = 4,776,060,576,400/1,002,262
  6. Step 6: Final answer
    x = 4,765,281.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.