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Finding the Third Proportional to 589,121 and 934,347

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Solution

The third proportional to 589,121 and 934,347 is: 1,481,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,121 : 934,347 = 934,347 : x
  2. Step 2: Convert to fraction form
    589,121/934,347 = 934,347/x
  3. Step 3: Cross multiply
    589,121x = 934,347 × 934,347
  4. Step 4: Simplify right side
    589,121x = 873,004,316,409
  5. Step 5: Solve for x
    x = 873,004,316,409/589,121
  6. Step 6: Final answer
    x = 1,481,876.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.