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Finding the Third Proportional to 738,512 and 1,606,624

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Solution

The third proportional to 738,512 and 1,606,624 is: 3,495,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,512 : 1,606,624 = 1,606,624 : x
  2. Step 2: Convert to fraction form
    738,512/1,606,624 = 1,606,624/x
  3. Step 3: Cross multiply
    738,512x = 1,606,624 × 1,606,624
  4. Step 4: Simplify right side
    738,512x = 2,581,240,677,376
  5. Step 5: Solve for x
    x = 2,581,240,677,376/738,512
  6. Step 6: Final answer
    x = 3,495,191.25

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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.