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Finding the Third Proportional to 972,947 and 2,072,185

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Solution

The third proportional to 972,947 and 2,072,185 is: 4,413,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,947 : 2,072,185 = 2,072,185 : x
  2. Step 2: Convert to fraction form
    972,947/2,072,185 = 2,072,185/x
  3. Step 3: Cross multiply
    972,947x = 2,072,185 × 2,072,185
  4. Step 4: Simplify right side
    972,947x = 4,293,950,674,225
  5. Step 5: Solve for x
    x = 4,293,950,674,225/972,947
  6. Step 6: Final answer
    x = 4,413,344.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.