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Finding the Third Proportional to 565,488 and 1,232,586

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Solution

The third proportional to 565,488 and 1,232,586 is: 2,686,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,488 : 1,232,586 = 1,232,586 : x
  2. Step 2: Convert to fraction form
    565,488/1,232,586 = 1,232,586/x
  3. Step 3: Cross multiply
    565,488x = 1,232,586 × 1,232,586
  4. Step 4: Simplify right side
    565,488x = 1,519,268,247,396
  5. Step 5: Solve for x
    x = 1,519,268,247,396/565,488
  6. Step 6: Final answer
    x = 2,686,649.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.