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Finding the Third Proportional to 590,192 and 1,280,464

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Solution

The third proportional to 590,192 and 1,280,464 is: 2,778,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,192 : 1,280,464 = 1,280,464 : x
  2. Step 2: Convert to fraction form
    590,192/1,280,464 = 1,280,464/x
  3. Step 3: Cross multiply
    590,192x = 1,280,464 × 1,280,464
  4. Step 4: Simplify right side
    590,192x = 1,639,588,055,296
  5. Step 5: Solve for x
    x = 1,639,588,055,296/590,192
  6. Step 6: Final answer
    x = 2,778,058.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.