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Finding the Third Proportional to 1,684,384.88 and 3,652,522.88

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Solution

The third proportional to 1,684,384.88 and 3,652,522.88 is: 7,920,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,384.88 : 3,652,522.88 = 3,652,522.88 : x
  2. Step 2: Convert to fraction form
    1,684,384.88/3,652,522.88 = 3,652,522.88/x
  3. Step 3: Cross multiply
    1,684,384.88x = 3,652,522.88 × 3,652,522.88
  4. Step 4: Simplify right side
    1,684,384.88x = 13,340,923,352,398.27
  5. Step 5: Solve for x
    x = 13,340,923,352,398.27/1,684,384.88
  6. Step 6: Final answer
    x = 7,920,353.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.