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Finding the Third Proportional to 964,767 and 1,418,247

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Solution

The third proportional to 964,767 and 1,418,247 is: 2,084,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,767 : 1,418,247 = 1,418,247 : x
  2. Step 2: Convert to fraction form
    964,767/1,418,247 = 1,418,247/x
  3. Step 3: Cross multiply
    964,767x = 1,418,247 × 1,418,247
  4. Step 4: Simplify right side
    964,767x = 2,011,424,553,009
  5. Step 5: Solve for x
    x = 2,011,424,553,009/964,767
  6. Step 6: Final answer
    x = 2,084,881.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.