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Finding the Third Proportional to 643,062 and 946,003

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Solution

The third proportional to 643,062 and 946,003 is: 1,391,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,062 : 946,003 = 946,003 : x
  2. Step 2: Convert to fraction form
    643,062/946,003 = 946,003/x
  3. Step 3: Cross multiply
    643,062x = 946,003 × 946,003
  4. Step 4: Simplify right side
    643,062x = 894,921,676,009
  5. Step 5: Solve for x
    x = 894,921,676,009/643,062
  6. Step 6: Final answer
    x = 1,391,656.91

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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.