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Finding the Third Proportional to 643,289 and 946,222

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Solution

The third proportional to 643,289 and 946,222 is: 1,391,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,289 : 946,222 = 946,222 : x
  2. Step 2: Convert to fraction form
    643,289/946,222 = 946,222/x
  3. Step 3: Cross multiply
    643,289x = 946,222 × 946,222
  4. Step 4: Simplify right side
    643,289x = 895,336,073,284
  5. Step 5: Solve for x
    x = 895,336,073,284/643,289
  6. Step 6: Final answer
    x = 1,391,810.02

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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.