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Finding the Third Proportional to 831,114 and 1,793,448

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Solution

The third proportional to 831,114 and 1,793,448 is: 3,870,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,114 : 1,793,448 = 1,793,448 : x
  2. Step 2: Convert to fraction form
    831,114/1,793,448 = 1,793,448/x
  3. Step 3: Cross multiply
    831,114x = 1,793,448 × 1,793,448
  4. Step 4: Simplify right side
    831,114x = 3,216,455,728,704
  5. Step 5: Solve for x
    x = 3,216,455,728,704/831,114
  6. Step 6: Final answer
    x = 3,870,053.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.