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Finding the Third Proportional to 569,860 and 879,462

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Solution

The third proportional to 569,860 and 879,462 is: 1,357,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,860 : 879,462 = 879,462 : x
  2. Step 2: Convert to fraction form
    569,860/879,462 = 879,462/x
  3. Step 3: Cross multiply
    569,860x = 879,462 × 879,462
  4. Step 4: Simplify right side
    569,860x = 773,453,409,444
  5. Step 5: Solve for x
    x = 773,453,409,444/569,860
  6. Step 6: Final answer
    x = 1,357,269.17

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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.