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Finding the Third Proportional to 594,967 and 1,221,615

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Solution

The third proportional to 594,967 and 1,221,615 is: 2,508,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,967 : 1,221,615 = 1,221,615 : x
  2. Step 2: Convert to fraction form
    594,967/1,221,615 = 1,221,615/x
  3. Step 3: Cross multiply
    594,967x = 1,221,615 × 1,221,615
  4. Step 4: Simplify right side
    594,967x = 1,492,343,208,225
  5. Step 5: Solve for x
    x = 1,492,343,208,225/594,967
  6. Step 6: Final answer
    x = 2,508,278.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.