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Finding the Third Proportional to 413,838 and 886,710

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Solution

The third proportional to 413,838 and 886,710 is: 1,899,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,838 : 886,710 = 886,710 : x
  2. Step 2: Convert to fraction form
    413,838/886,710 = 886,710/x
  3. Step 3: Cross multiply
    413,838x = 886,710 × 886,710
  4. Step 4: Simplify right side
    413,838x = 786,254,624,100
  5. Step 5: Solve for x
    x = 786,254,624,100/413,838
  6. Step 6: Final answer
    x = 1,899,909.20

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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.