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Finding the Third Proportional to 3,096,306 and 4,553,415

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Solution

The third proportional to 3,096,306 and 4,553,415 is: 6,696,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096,306 : 4,553,415 = 4,553,415 : x
  2. Step 2: Convert to fraction form
    3,096,306/4,553,415 = 4,553,415/x
  3. Step 3: Cross multiply
    3,096,306x = 4,553,415 × 4,553,415
  4. Step 4: Simplify right side
    3,096,306x = 20,733,588,162,225
  5. Step 5: Solve for x
    x = 20,733,588,162,225/3,096,306
  6. Step 6: Final answer
    x = 6,696,233.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.