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Finding the Third Proportional to 1,138,113 and 2,381,445

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Solution

The third proportional to 1,138,113 and 2,381,445 is: 4,983,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,113 : 2,381,445 = 2,381,445 : x
  2. Step 2: Convert to fraction form
    1,138,113/2,381,445 = 2,381,445/x
  3. Step 3: Cross multiply
    1,138,113x = 2,381,445 × 2,381,445
  4. Step 4: Simplify right side
    1,138,113x = 5,671,280,288,025
  5. Step 5: Solve for x
    x = 5,671,280,288,025/1,138,113
  6. Step 6: Final answer
    x = 4,983,055.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.