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Finding the Third Proportional to 1,831,089 and 3,977,411

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Solution

The third proportional to 1,831,089 and 3,977,411 is: 8,639,557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,089 : 3,977,411 = 3,977,411 : x
  2. Step 2: Convert to fraction form
    1,831,089/3,977,411 = 3,977,411/x
  3. Step 3: Cross multiply
    1,831,089x = 3,977,411 × 3,977,411
  4. Step 4: Simplify right side
    1,831,089x = 15,819,798,262,921
  5. Step 5: Solve for x
    x = 15,819,798,262,921/1,831,089
  6. Step 6: Final answer
    x = 8,639,557.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.