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Finding the Third Proportional to 565,588 and 1,189,346

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Solution

The third proportional to 565,588 and 1,189,346 is: 2,501,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,588 : 1,189,346 = 1,189,346 : x
  2. Step 2: Convert to fraction form
    565,588/1,189,346 = 1,189,346/x
  3. Step 3: Cross multiply
    565,588x = 1,189,346 × 1,189,346
  4. Step 4: Simplify right side
    565,588x = 1,414,543,907,716
  5. Step 5: Solve for x
    x = 1,414,543,907,716/565,588
  6. Step 6: Final answer
    x = 2,501,014.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.