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Finding the Third Proportional to 965,575.13 and 1,460,787.75

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Solution

The third proportional to 965,575.13 and 1,460,787.75 is: 2,209,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,575.13 : 1,460,787.75 = 1,460,787.75 : x
  2. Step 2: Convert to fraction form
    965,575.13/1,460,787.75 = 1,460,787.75/x
  3. Step 3: Cross multiply
    965,575.13x = 1,460,787.75 × 1,460,787.75
  4. Step 4: Simplify right side
    965,575.13x = 2,133,900,850,550.06
  5. Step 5: Solve for x
    x = 2,133,900,850,550.06/965,575.13
  6. Step 6: Final answer
    x = 2,209,979.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.