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Finding the Third Proportional to 611,210 and 934,383

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Solution

The third proportional to 611,210 and 934,383 is: 1,428,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,210 : 934,383 = 934,383 : x
  2. Step 2: Convert to fraction form
    611,210/934,383 = 934,383/x
  3. Step 3: Cross multiply
    611,210x = 934,383 × 934,383
  4. Step 4: Simplify right side
    611,210x = 873,071,590,689
  5. Step 5: Solve for x
    x = 873,071,590,689/611,210
  6. Step 6: Final answer
    x = 1,428,431.46

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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.