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Finding the Third Proportional to 3,210,538 and 4,700,624

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Solution

The third proportional to 3,210,538 and 4,700,624 is: 6,882,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210,538 : 4,700,624 = 4,700,624 : x
  2. Step 2: Convert to fraction form
    3,210,538/4,700,624 = 4,700,624/x
  3. Step 3: Cross multiply
    3,210,538x = 4,700,624 × 4,700,624
  4. Step 4: Simplify right side
    3,210,538x = 22,095,865,989,376
  5. Step 5: Solve for x
    x = 22,095,865,989,376/3,210,538
  6. Step 6: Final answer
    x = 6,882,293.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.