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Finding the Third Proportional to 1,002,264 and 2,185,428

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Solution

The third proportional to 1,002,264 and 2,185,428 is: 4,765,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,264 : 2,185,428 = 2,185,428 : x
  2. Step 2: Convert to fraction form
    1,002,264/2,185,428 = 2,185,428/x
  3. Step 3: Cross multiply
    1,002,264x = 2,185,428 × 2,185,428
  4. Step 4: Simplify right side
    1,002,264x = 4,776,095,543,184
  5. Step 5: Solve for x
    x = 4,776,095,543,184/1,002,264
  6. Step 6: Final answer
    x = 4,765,306.89

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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.