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Finding the Third Proportional to 1,314,595.41 and 1,966,638.66

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Solution

The third proportional to 1,314,595.41 and 1,966,638.66 is: 2,942,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,595.41 : 1,966,638.66 = 1,966,638.66 : x
  2. Step 2: Convert to fraction form
    1,314,595.41/1,966,638.66 = 1,966,638.66/x
  3. Step 3: Cross multiply
    1,314,595.41x = 1,966,638.66 × 1,966,638.66
  4. Step 4: Simplify right side
    1,314,595.41x = 3,867,667,604,256.81
  5. Step 5: Solve for x
    x = 3,867,667,604,256.81/1,314,595.41
  6. Step 6: Final answer
    x = 2,942,097.31

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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.