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Finding the Third Proportional to 1,360,924 and 2,966,788

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Solution

The third proportional to 1,360,924 and 2,966,788 is: 6,467,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,924 : 2,966,788 = 2,966,788 : x
  2. Step 2: Convert to fraction form
    1,360,924/2,966,788 = 2,966,788/x
  3. Step 3: Cross multiply
    1,360,924x = 2,966,788 × 2,966,788
  4. Step 4: Simplify right side
    1,360,924x = 8,801,831,036,944
  5. Step 5: Solve for x
    x = 8,801,831,036,944/1,360,924
  6. Step 6: Final answer
    x = 6,467,540.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.