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Finding the Third Proportional to 1,548,072 and 3,497,482.13

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Solution

The third proportional to 1,548,072 and 3,497,482.13 is: 7,901,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,072 : 3,497,482.13 = 3,497,482.13 : x
  2. Step 2: Convert to fraction form
    1,548,072/3,497,482.13 = 3,497,482.13/x
  3. Step 3: Cross multiply
    1,548,072x = 3,497,482.13 × 3,497,482.13
  4. Step 4: Simplify right side
    1,548,072x = 12,232,381,214,694.52
  5. Step 5: Solve for x
    x = 12,232,381,214,694.52/1,548,072
  6. Step 6: Final answer
    x = 7,901,687.53

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.