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Finding the Third Proportional to 831,460 and 1,339,070

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Solution

The third proportional to 831,460 and 1,339,070 is: 2,156,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,460 : 1,339,070 = 1,339,070 : x
  2. Step 2: Convert to fraction form
    831,460/1,339,070 = 1,339,070/x
  3. Step 3: Cross multiply
    831,460x = 1,339,070 × 1,339,070
  4. Step 4: Simplify right side
    831,460x = 1,793,108,464,900
  5. Step 5: Solve for x
    x = 1,793,108,464,900/831,460
  6. Step 6: Final answer
    x = 2,156,578.15

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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.