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Finding the Third Proportional to 930,838 and 1,423,330

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Solution

The third proportional to 930,838 and 1,423,330 is: 2,176,391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,838 : 1,423,330 = 1,423,330 : x
  2. Step 2: Convert to fraction form
    930,838/1,423,330 = 1,423,330/x
  3. Step 3: Cross multiply
    930,838x = 1,423,330 × 1,423,330
  4. Step 4: Simplify right side
    930,838x = 2,025,868,288,900
  5. Step 5: Solve for x
    x = 2,025,868,288,900/930,838
  6. Step 6: Final answer
    x = 2,176,391.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.