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Finding the Third Proportional to 2,161,264 and 4,703,072

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Solution

The third proportional to 2,161,264 and 4,703,072 is: 10,234,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,264 : 4,703,072 = 4,703,072 : x
  2. Step 2: Convert to fraction form
    2,161,264/4,703,072 = 4,703,072/x
  3. Step 3: Cross multiply
    2,161,264x = 4,703,072 × 4,703,072
  4. Step 4: Simplify right side
    2,161,264x = 22,118,886,237,184
  5. Step 5: Solve for x
    x = 22,118,886,237,184/2,161,264
  6. Step 6: Final answer
    x = 10,234,236.19

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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.