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Finding the Third Proportional to 831,276 and 1,289,682

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Solution

The third proportional to 831,276 and 1,289,682 is: 2,000,875.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,276 : 1,289,682 = 1,289,682 : x
  2. Step 2: Convert to fraction form
    831,276/1,289,682 = 1,289,682/x
  3. Step 3: Cross multiply
    831,276x = 1,289,682 × 1,289,682
  4. Step 4: Simplify right side
    831,276x = 1,663,279,661,124
  5. Step 5: Solve for x
    x = 1,663,279,661,124/831,276
  6. Step 6: Final answer
    x = 2,000,875.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.