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Finding the Third Proportional to 1,681,564.50 and 3,690,153

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Solution

The third proportional to 1,681,564.50 and 3,690,153 is: 8,097,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,564.50 : 3,690,153 = 3,690,153 : x
  2. Step 2: Convert to fraction form
    1,681,564.50/3,690,153 = 3,690,153/x
  3. Step 3: Cross multiply
    1,681,564.50x = 3,690,153 × 3,690,153
  4. Step 4: Simplify right side
    1,681,564.50x = 13,617,229,163,409
  5. Step 5: Solve for x
    x = 13,617,229,163,409/1,681,564.50
  6. Step 6: Final answer
    x = 8,097,952.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.