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Finding the Third Proportional to 1,724,122.50 and 3,746,682

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Solution

The third proportional to 1,724,122.50 and 3,746,682 is: 8,141,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,122.50 : 3,746,682 = 3,746,682 : x
  2. Step 2: Convert to fraction form
    1,724,122.50/3,746,682 = 3,746,682/x
  3. Step 3: Cross multiply
    1,724,122.50x = 3,746,682 × 3,746,682
  4. Step 4: Simplify right side
    1,724,122.50x = 14,037,626,009,124
  5. Step 5: Solve for x
    x = 14,037,626,009,124/1,724,122.50
  6. Step 6: Final answer
    x = 8,141,895.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.