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Finding the Third Proportional to 413,948 and 857,544

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Solution

The third proportional to 413,948 and 857,544 is: 1,776,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,948 : 857,544 = 857,544 : x
  2. Step 2: Convert to fraction form
    413,948/857,544 = 857,544/x
  3. Step 3: Cross multiply
    413,948x = 857,544 × 857,544
  4. Step 4: Simplify right side
    413,948x = 735,381,711,936
  5. Step 5: Solve for x
    x = 735,381,711,936/413,948
  6. Step 6: Final answer
    x = 1,776,507.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.