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Finding the Third Proportional to 783,549.70 and 1,697,519.21

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Solution

The third proportional to 783,549.70 and 1,697,519.21 is: 3,677,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,549.70 : 1,697,519.21 = 1,697,519.21 : x
  2. Step 2: Convert to fraction form
    783,549.70/1,697,519.21 = 1,697,519.21/x
  3. Step 3: Cross multiply
    783,549.70x = 1,697,519.21 × 1,697,519.21
  4. Step 4: Simplify right side
    783,549.70x = 2,881,571,484,763.91
  5. Step 5: Solve for x
    x = 2,881,571,484,763.91/783,549.70
  6. Step 6: Final answer
    x = 3,677,586.08

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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.