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Finding the Third Proportional to 635,460 and 938,406

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Solution

The third proportional to 635,460 and 938,406 is: 1,385,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,460 : 938,406 = 938,406 : x
  2. Step 2: Convert to fraction form
    635,460/938,406 = 938,406/x
  3. Step 3: Cross multiply
    635,460x = 938,406 × 938,406
  4. Step 4: Simplify right side
    635,460x = 880,605,820,836
  5. Step 5: Solve for x
    x = 880,605,820,836/635,460
  6. Step 6: Final answer
    x = 1,385,776.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.