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Finding the Third Proportional to 583,086 and 899,535

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Solution

The third proportional to 583,086 and 899,535 is: 1,387,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,086 : 899,535 = 899,535 : x
  2. Step 2: Convert to fraction form
    583,086/899,535 = 899,535/x
  3. Step 3: Cross multiply
    583,086x = 899,535 × 899,535
  4. Step 4: Simplify right side
    583,086x = 809,163,216,225
  5. Step 5: Solve for x
    x = 809,163,216,225/583,086
  6. Step 6: Final answer
    x = 1,387,725.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.