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Finding the Third Proportional to 592,616 and 941,412

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Solution

The third proportional to 592,616 and 941,412 is: 1,495,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,616 : 941,412 = 941,412 : x
  2. Step 2: Convert to fraction form
    592,616/941,412 = 941,412/x
  3. Step 3: Cross multiply
    592,616x = 941,412 × 941,412
  4. Step 4: Simplify right side
    592,616x = 886,256,553,744
  5. Step 5: Solve for x
    x = 886,256,553,744/592,616
  6. Step 6: Final answer
    x = 1,495,498.86

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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.