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Finding the Third Proportional to 1,602,624 and 3,264,624

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Solution

The third proportional to 1,602,624 and 3,264,624 is: 6,650,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,624 : 3,264,624 = 3,264,624 : x
  2. Step 2: Convert to fraction form
    1,602,624/3,264,624 = 3,264,624/x
  3. Step 3: Cross multiply
    1,602,624x = 3,264,624 × 3,264,624
  4. Step 4: Simplify right side
    1,602,624x = 10,657,769,861,376
  5. Step 5: Solve for x
    x = 10,657,769,861,376/1,602,624
  6. Step 6: Final answer
    x = 6,650,199.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.