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Finding the Third Proportional to 537,428 and 1,171,624

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Solution

The third proportional to 537,428 and 1,171,624 is: 2,554,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,428 : 1,171,624 = 1,171,624 : x
  2. Step 2: Convert to fraction form
    537,428/1,171,624 = 1,171,624/x
  3. Step 3: Cross multiply
    537,428x = 1,171,624 × 1,171,624
  4. Step 4: Simplify right side
    537,428x = 1,372,702,797,376
  5. Step 5: Solve for x
    x = 1,372,702,797,376/537,428
  6. Step 6: Final answer
    x = 2,554,207.81

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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.