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Finding the Third Proportional to 1,668,082.50 and 3,635,541

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Solution

The third proportional to 1,668,082.50 and 3,635,541 is: 7,923,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,082.50 : 3,635,541 = 3,635,541 : x
  2. Step 2: Convert to fraction form
    1,668,082.50/3,635,541 = 3,635,541/x
  3. Step 3: Cross multiply
    1,668,082.50x = 3,635,541 × 3,635,541
  4. Step 4: Simplify right side
    1,668,082.50x = 13,217,158,362,681
  5. Step 5: Solve for x
    x = 13,217,158,362,681/1,668,082.50
  6. Step 6: Final answer
    x = 7,923,563.95

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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.