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Finding the Third Proportional to 811,143 and 1,877,742

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Solution

The third proportional to 811,143 and 1,877,742 is: 4,346,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,143 : 1,877,742 = 1,877,742 : x
  2. Step 2: Convert to fraction form
    811,143/1,877,742 = 1,877,742/x
  3. Step 3: Cross multiply
    811,143x = 1,877,742 × 1,877,742
  4. Step 4: Simplify right side
    811,143x = 3,525,915,018,564
  5. Step 5: Solve for x
    x = 3,525,915,018,564/811,143
  6. Step 6: Final answer
    x = 4,346,847.62

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.