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Finding the Third Proportional to 1,506,213.14 and 3,311,323.45

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Solution

The third proportional to 1,506,213.14 and 3,311,323.45 is: 7,279,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,213.14 : 3,311,323.45 = 3,311,323.45 : x
  2. Step 2: Convert to fraction form
    1,506,213.14/3,311,323.45 = 3,311,323.45/x
  3. Step 3: Cross multiply
    1,506,213.14x = 3,311,323.45 × 3,311,323.45
  4. Step 4: Simplify right side
    1,506,213.14x = 10,964,863,011,215.67
  5. Step 5: Solve for x
    x = 10,964,863,011,215.67/1,506,213.14
  6. Step 6: Final answer
    x = 7,279,755.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.