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Finding the Third Proportional to 831,870 and 1,703,145

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Solution

The third proportional to 831,870 and 1,703,145 is: 3,486,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,870 : 1,703,145 = 1,703,145 : x
  2. Step 2: Convert to fraction form
    831,870/1,703,145 = 1,703,145/x
  3. Step 3: Cross multiply
    831,870x = 1,703,145 × 1,703,145
  4. Step 4: Simplify right side
    831,870x = 2,900,702,891,025
  5. Step 5: Solve for x
    x = 2,900,702,891,025/831,870
  6. Step 6: Final answer
    x = 3,486,966.58

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.