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Finding the Third Proportional to 1,258,360.31 and 1,887,677.16

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Solution

The third proportional to 1,258,360.31 and 1,887,677.16 is: 2,831,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,360.31 : 1,887,677.16 = 1,887,677.16 : x
  2. Step 2: Convert to fraction form
    1,258,360.31/1,887,677.16 = 1,887,677.16/x
  3. Step 3: Cross multiply
    1,258,360.31x = 1,887,677.16 × 1,887,677.16
  4. Step 4: Simplify right side
    1,258,360.31x = 3,563,325,046,228.09
  5. Step 5: Solve for x
    x = 3,563,325,046,228.09/1,258,360.31
  6. Step 6: Final answer
    x = 2,831,720.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.