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Finding the Third Proportional to 1,614,657 and 3,806,197.50

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Solution

The third proportional to 1,614,657 and 3,806,197.50 is: 8,972,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,657 : 3,806,197.50 = 3,806,197.50 : x
  2. Step 2: Convert to fraction form
    1,614,657/3,806,197.50 = 3,806,197.50/x
  3. Step 3: Cross multiply
    1,614,657x = 3,806,197.50 × 3,806,197.50
  4. Step 4: Simplify right side
    1,614,657x = 14,487,139,409,006.25
  5. Step 5: Solve for x
    x = 14,487,139,409,006.25/1,614,657
  6. Step 6: Final answer
    x = 8,972,270.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.