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Finding the Third Proportional to 611,216 and 934,392

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Solution

The third proportional to 611,216 and 934,392 is: 1,428,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,216 : 934,392 = 934,392 : x
  2. Step 2: Convert to fraction form
    611,216/934,392 = 934,392/x
  3. Step 3: Cross multiply
    611,216x = 934,392 × 934,392
  4. Step 4: Simplify right side
    611,216x = 873,088,409,664
  5. Step 5: Solve for x
    x = 873,088,409,664/611,216
  6. Step 6: Final answer
    x = 1,428,444.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.