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Finding the Third Proportional to 413,924 and 886,896

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Solution

The third proportional to 413,924 and 886,896 is: 1,900,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,924 : 886,896 = 886,896 : x
  2. Step 2: Convert to fraction form
    413,924/886,896 = 886,896/x
  3. Step 3: Cross multiply
    413,924x = 886,896 × 886,896
  4. Step 4: Simplify right side
    413,924x = 786,584,514,816
  5. Step 5: Solve for x
    x = 786,584,514,816/413,924
  6. Step 6: Final answer
    x = 1,900,311.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.