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Finding the Third Proportional to 592,827 and 1,300,875

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Solution

The third proportional to 592,827 and 1,300,875 is: 2,854,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,827 : 1,300,875 = 1,300,875 : x
  2. Step 2: Convert to fraction form
    592,827/1,300,875 = 1,300,875/x
  3. Step 3: Cross multiply
    592,827x = 1,300,875 × 1,300,875
  4. Step 4: Simplify right side
    592,827x = 1,692,275,765,625
  5. Step 5: Solve for x
    x = 1,692,275,765,625/592,827
  6. Step 6: Final answer
    x = 2,854,586.19

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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.