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Finding the Third Proportional to 611,232 and 934,416

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Solution

The third proportional to 611,232 and 934,416 is: 1,428,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,232 : 934,416 = 934,416 : x
  2. Step 2: Convert to fraction form
    611,232/934,416 = 934,416/x
  3. Step 3: Cross multiply
    611,232x = 934,416 × 934,416
  4. Step 4: Simplify right side
    611,232x = 873,133,261,056
  5. Step 5: Solve for x
    x = 873,133,261,056/611,232
  6. Step 6: Final answer
    x = 1,428,480.94

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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.