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Finding the Third Proportional to 846,109.13 and 1,846,557

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Solution

The third proportional to 846,109.13 and 1,846,557 is: 4,029,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,109.13 : 1,846,557 = 1,846,557 : x
  2. Step 2: Convert to fraction form
    846,109.13/1,846,557 = 1,846,557/x
  3. Step 3: Cross multiply
    846,109.13x = 1,846,557 × 1,846,557
  4. Step 4: Simplify right side
    846,109.13x = 3,409,772,754,249
  5. Step 5: Solve for x
    x = 3,409,772,754,249/846,109.13
  6. Step 6: Final answer
    x = 4,029,944.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.