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Finding the Third Proportional to 2,831,534 and 6,135,460

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Solution

The third proportional to 2,831,534 and 6,135,460 is: 13,294,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831,534 : 6,135,460 = 6,135,460 : x
  2. Step 2: Convert to fraction form
    2,831,534/6,135,460 = 6,135,460/x
  3. Step 3: Cross multiply
    2,831,534x = 6,135,460 × 6,135,460
  4. Step 4: Simplify right side
    2,831,534x = 37,643,869,411,600
  5. Step 5: Solve for x
    x = 37,643,869,411,600/2,831,534
  6. Step 6: Final answer
    x = 13,294,514.36

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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.