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Finding the Third Proportional to 1,597,104.84 and 3,483,247.22

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Solution

The third proportional to 1,597,104.84 and 3,483,247.22 is: 7,596,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,104.84 : 3,483,247.22 = 3,483,247.22 : x
  2. Step 2: Convert to fraction form
    1,597,104.84/3,483,247.22 = 3,483,247.22/x
  3. Step 3: Cross multiply
    1,597,104.84x = 3,483,247.22 × 3,483,247.22
  4. Step 4: Simplify right side
    1,597,104.84x = 12,133,011,186,929.61
  5. Step 5: Solve for x
    x = 12,133,011,186,929.61/1,597,104.84
  6. Step 6: Final answer
    x = 7,596,878.34

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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.