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Finding the Third Proportional to 2,165,288.63 and 4,650,426

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Solution

The third proportional to 2,165,288.63 and 4,650,426 is: 9,987,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165,288.63 : 4,650,426 = 4,650,426 : x
  2. Step 2: Convert to fraction form
    2,165,288.63/4,650,426 = 4,650,426/x
  3. Step 3: Cross multiply
    2,165,288.63x = 4,650,426 × 4,650,426
  4. Step 4: Simplify right side
    2,165,288.63x = 21,626,461,981,476
  5. Step 5: Solve for x
    x = 21,626,461,981,476/2,165,288.63
  6. Step 6: Final answer
    x = 9,987,796.42

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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.