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Finding the Third Proportional to 2,002,364 and 4,146,664

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Solution

The third proportional to 2,002,364 and 4,146,664 is: 8,587,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,364 : 4,146,664 = 4,146,664 : x
  2. Step 2: Convert to fraction form
    2,002,364/4,146,664 = 4,146,664/x
  3. Step 3: Cross multiply
    2,002,364x = 4,146,664 × 4,146,664
  4. Step 4: Simplify right side
    2,002,364x = 17,194,822,328,896
  5. Step 5: Solve for x
    x = 17,194,822,328,896/2,002,364
  6. Step 6: Final answer
    x = 8,587,261.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.