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Finding the Third Proportional to 405,033 and 886,314

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Solution

The third proportional to 405,033 and 886,314 is: 1,939,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,033 : 886,314 = 886,314 : x
  2. Step 2: Convert to fraction form
    405,033/886,314 = 886,314/x
  3. Step 3: Cross multiply
    405,033x = 886,314 × 886,314
  4. Step 4: Simplify right side
    405,033x = 785,552,506,596
  5. Step 5: Solve for x
    x = 785,552,506,596/405,033
  6. Step 6: Final answer
    x = 1,939,477.79

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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.