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Finding the Third Proportional to 421,074 and 935,460

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Solution

The third proportional to 421,074 and 935,460 is: 2,078,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,074 : 935,460 = 935,460 : x
  2. Step 2: Convert to fraction form
    421,074/935,460 = 935,460/x
  3. Step 3: Cross multiply
    421,074x = 935,460 × 935,460
  4. Step 4: Simplify right side
    421,074x = 875,085,411,600
  5. Step 5: Solve for x
    x = 875,085,411,600/421,074
  6. Step 6: Final answer
    x = 2,078,222.38

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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.