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Finding the Third Proportional to 1,538,560 and 3,348,038

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Solution

The third proportional to 1,538,560 and 3,348,038 is: 7,285,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,560 : 3,348,038 = 3,348,038 : x
  2. Step 2: Convert to fraction form
    1,538,560/3,348,038 = 3,348,038/x
  3. Step 3: Cross multiply
    1,538,560x = 3,348,038 × 3,348,038
  4. Step 4: Simplify right side
    1,538,560x = 11,209,358,449,444
  5. Step 5: Solve for x
    x = 11,209,358,449,444/1,538,560
  6. Step 6: Final answer
    x = 7,285,616.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.