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Finding the Third Proportional to 846,102 and 1,846,548

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Solution

The third proportional to 846,102 and 1,846,548 is: 4,029,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,102 : 1,846,548 = 1,846,548 : x
  2. Step 2: Convert to fraction form
    846,102/1,846,548 = 1,846,548/x
  3. Step 3: Cross multiply
    846,102x = 1,846,548 × 1,846,548
  4. Step 4: Simplify right side
    846,102x = 3,409,739,516,304
  5. Step 5: Solve for x
    x = 3,409,739,516,304/846,102
  6. Step 6: Final answer
    x = 4,029,939.08

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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.