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Finding the Third Proportional to 589,056 and 934,224

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Solution

The third proportional to 589,056 and 934,224 is: 1,481,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,056 : 934,224 = 934,224 : x
  2. Step 2: Convert to fraction form
    589,056/934,224 = 934,224/x
  3. Step 3: Cross multiply
    589,056x = 934,224 × 934,224
  4. Step 4: Simplify right side
    589,056x = 872,774,482,176
  5. Step 5: Solve for x
    x = 872,774,482,176/589,056
  6. Step 6: Final answer
    x = 1,481,649.42

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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.