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Finding the Third Proportional to 831,411 and 1,787,130

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Solution

The third proportional to 831,411 and 1,787,130 is: 3,841,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,411 : 1,787,130 = 1,787,130 : x
  2. Step 2: Convert to fraction form
    831,411/1,787,130 = 1,787,130/x
  3. Step 3: Cross multiply
    831,411x = 1,787,130 × 1,787,130
  4. Step 4: Simplify right side
    831,411x = 3,193,833,636,900
  5. Step 5: Solve for x
    x = 3,193,833,636,900/831,411
  6. Step 6: Final answer
    x = 3,841,461.85

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Why These Related Problems?

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