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Finding the Third Proportional to 944,524 and 2,038,306

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Solution

The third proportional to 944,524 and 2,038,306 is: 4,398,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,524 : 2,038,306 = 2,038,306 : x
  2. Step 2: Convert to fraction form
    944,524/2,038,306 = 2,038,306/x
  3. Step 3: Cross multiply
    944,524x = 2,038,306 × 2,038,306
  4. Step 4: Simplify right side
    944,524x = 4,154,691,349,636
  5. Step 5: Solve for x
    x = 4,154,691,349,636/944,524
  6. Step 6: Final answer
    x = 4,398,714.43

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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.