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Finding the Third Proportional to 565,908 and 1,216,089

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Solution

The third proportional to 565,908 and 1,216,089 is: 2,613,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,908 : 1,216,089 = 1,216,089 : x
  2. Step 2: Convert to fraction form
    565,908/1,216,089 = 1,216,089/x
  3. Step 3: Cross multiply
    565,908x = 1,216,089 × 1,216,089
  4. Step 4: Simplify right side
    565,908x = 1,478,872,455,921
  5. Step 5: Solve for x
    x = 1,478,872,455,921/565,908
  6. Step 6: Final answer
    x = 2,613,273.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.