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Finding the Third Proportional to 2,103,691.50 and 4,606,410

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Solution

The third proportional to 2,103,691.50 and 4,606,410 is: 10,086,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,691.50 : 4,606,410 = 4,606,410 : x
  2. Step 2: Convert to fraction form
    2,103,691.50/4,606,410 = 4,606,410/x
  3. Step 3: Cross multiply
    2,103,691.50x = 4,606,410 × 4,606,410
  4. Step 4: Simplify right side
    2,103,691.50x = 21,219,013,088,100
  5. Step 5: Solve for x
    x = 21,219,013,088,100/2,103,691.50
  6. Step 6: Final answer
    x = 10,086,561.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.