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Finding the Third Proportional to 1,815,942 and 2,925,967.50

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Solution

The third proportional to 1,815,942 and 2,925,967.50 is: 4,714,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815,942 : 2,925,967.50 = 2,925,967.50 : x
  2. Step 2: Convert to fraction form
    1,815,942/2,925,967.50 = 2,925,967.50/x
  3. Step 3: Cross multiply
    1,815,942x = 2,925,967.50 × 2,925,967.50
  4. Step 4: Simplify right side
    1,815,942x = 8,561,285,811,056.25
  5. Step 5: Solve for x
    x = 8,561,285,811,056.25/1,815,942
  6. Step 6: Final answer
    x = 4,714,515.01

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.