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Finding the Third Proportional to 565,389 and 1,219,350

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Solution

The third proportional to 565,389 and 1,219,350 is: 2,629,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,389 : 1,219,350 = 1,219,350 : x
  2. Step 2: Convert to fraction form
    565,389/1,219,350 = 1,219,350/x
  3. Step 3: Cross multiply
    565,389x = 1,219,350 × 1,219,350
  4. Step 4: Simplify right side
    565,389x = 1,486,814,422,500
  5. Step 5: Solve for x
    x = 1,486,814,422,500/565,389
  6. Step 6: Final answer
    x = 2,629,719.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.