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Finding the Third Proportional to 2,209,592 and 3,412,072

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Solution

The third proportional to 2,209,592 and 3,412,072 is: 5,268,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209,592 : 3,412,072 = 3,412,072 : x
  2. Step 2: Convert to fraction form
    2,209,592/3,412,072 = 3,412,072/x
  3. Step 3: Cross multiply
    2,209,592x = 3,412,072 × 3,412,072
  4. Step 4: Simplify right side
    2,209,592x = 11,642,235,333,184
  5. Step 5: Solve for x
    x = 11,642,235,333,184/2,209,592
  6. Step 6: Final answer
    x = 5,268,952.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.