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Finding the Third Proportional to 846,595.13 and 1,311,415.31

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Solution

The third proportional to 846,595.13 and 1,311,415.31 is: 2,031,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,595.13 : 1,311,415.31 = 1,311,415.31 : x
  2. Step 2: Convert to fraction form
    846,595.13/1,311,415.31 = 1,311,415.31/x
  3. Step 3: Cross multiply
    846,595.13x = 1,311,415.31 × 1,311,415.31
  4. Step 4: Simplify right side
    846,595.13x = 1,719,810,121,859.47
  5. Step 5: Solve for x
    x = 1,719,810,121,859.47/846,595.13
  6. Step 6: Final answer
    x = 2,031,443.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.