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Finding the Third Proportional to 405,070 and 886,424

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Solution

The third proportional to 405,070 and 886,424 is: 1,939,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,070 : 886,424 = 886,424 : x
  2. Step 2: Convert to fraction form
    405,070/886,424 = 886,424/x
  3. Step 3: Cross multiply
    405,070x = 886,424 × 886,424
  4. Step 4: Simplify right side
    405,070x = 785,747,507,776
  5. Step 5: Solve for x
    x = 785,747,507,776/405,070
  6. Step 6: Final answer
    x = 1,939,782.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.