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Finding the Third Proportional to 473,782 and 1,036,133

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Solution

The third proportional to 473,782 and 1,036,133 is: 2,265,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,782 : 1,036,133 = 1,036,133 : x
  2. Step 2: Convert to fraction form
    473,782/1,036,133 = 1,036,133/x
  3. Step 3: Cross multiply
    473,782x = 1,036,133 × 1,036,133
  4. Step 4: Simplify right side
    473,782x = 1,073,571,593,689
  5. Step 5: Solve for x
    x = 1,073,571,593,689/473,782
  6. Step 6: Final answer
    x = 2,265,961.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.