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Finding the Third Proportional to 831,572 and 1,787,370

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Solution

The third proportional to 831,572 and 1,787,370 is: 3,841,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,572 : 1,787,370 = 1,787,370 : x
  2. Step 2: Convert to fraction form
    831,572/1,787,370 = 1,787,370/x
  3. Step 3: Cross multiply
    831,572x = 1,787,370 × 1,787,370
  4. Step 4: Simplify right side
    831,572x = 3,194,691,516,900
  5. Step 5: Solve for x
    x = 3,194,691,516,900/831,572
  6. Step 6: Final answer
    x = 3,841,749.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.