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Finding the Third Proportional to 427,339 and 934,058

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Solution

The third proportional to 427,339 and 934,058 is: 2,041,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,339 : 934,058 = 934,058 : x
  2. Step 2: Convert to fraction form
    427,339/934,058 = 934,058/x
  3. Step 3: Cross multiply
    427,339x = 934,058 × 934,058
  4. Step 4: Simplify right side
    427,339x = 872,464,347,364
  5. Step 5: Solve for x
    x = 872,464,347,364/427,339
  6. Step 6: Final answer
    x = 2,041,621.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.