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Finding the Third Proportional to 1,703,989.50 and 3,647,346

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Solution

The third proportional to 1,703,989.50 and 3,647,346 is: 7,807,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703,989.50 : 3,647,346 = 3,647,346 : x
  2. Step 2: Convert to fraction form
    1,703,989.50/3,647,346 = 3,647,346/x
  3. Step 3: Cross multiply
    1,703,989.50x = 3,647,346 × 3,647,346
  4. Step 4: Simplify right side
    1,703,989.50x = 13,303,132,843,716
  5. Step 5: Solve for x
    x = 13,303,132,843,716/1,703,989.50
  6. Step 6: Final answer
    x = 7,807,050.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.