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Finding the Third Proportional to 513,574 and 1,145,164

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Solution

The third proportional to 513,574 and 1,145,164 is: 2,553,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,574 : 1,145,164 = 1,145,164 : x
  2. Step 2: Convert to fraction form
    513,574/1,145,164 = 1,145,164/x
  3. Step 3: Cross multiply
    513,574x = 1,145,164 × 1,145,164
  4. Step 4: Simplify right side
    513,574x = 1,311,400,586,896
  5. Step 5: Solve for x
    x = 1,311,400,586,896/513,574
  6. Step 6: Final answer
    x = 2,553,479.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.