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Finding the Third Proportional to 421,076 and 935,464

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Solution

The third proportional to 421,076 and 935,464 is: 2,078,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,076 : 935,464 = 935,464 : x
  2. Step 2: Convert to fraction form
    421,076/935,464 = 935,464/x
  3. Step 3: Cross multiply
    421,076x = 935,464 × 935,464
  4. Step 4: Simplify right side
    421,076x = 875,092,895,296
  5. Step 5: Solve for x
    x = 875,092,895,296/421,076
  6. Step 6: Final answer
    x = 2,078,230.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.