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Finding the Third Proportional to 1,414,851 and 2,000,056.50

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Solution

The third proportional to 1,414,851 and 2,000,056.50 is: 2,827,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,851 : 2,000,056.50 = 2,000,056.50 : x
  2. Step 2: Convert to fraction form
    1,414,851/2,000,056.50 = 2,000,056.50/x
  3. Step 3: Cross multiply
    1,414,851x = 2,000,056.50 × 2,000,056.50
  4. Step 4: Simplify right side
    1,414,851x = 4,000,226,003,192.25
  5. Step 5: Solve for x
    x = 4,000,226,003,192.25/1,414,851
  6. Step 6: Final answer
    x = 2,827,312.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.