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Finding the Third Proportional to 589,113 and 934,335

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Solution

The third proportional to 589,113 and 934,335 is: 1,481,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,113 : 934,335 = 934,335 : x
  2. Step 2: Convert to fraction form
    589,113/934,335 = 934,335/x
  3. Step 3: Cross multiply
    589,113x = 934,335 × 934,335
  4. Step 4: Simplify right side
    589,113x = 872,981,892,225
  5. Step 5: Solve for x
    x = 872,981,892,225/589,113
  6. Step 6: Final answer
    x = 1,481,858.14

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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.