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Finding the Third Proportional to 405,901.13 and 876,153.38

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Solution

The third proportional to 405,901.13 and 876,153.38 is: 1,891,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,901.13 : 876,153.38 = 876,153.38 : x
  2. Step 2: Convert to fraction form
    405,901.13/876,153.38 = 876,153.38/x
  3. Step 3: Cross multiply
    405,901.13x = 876,153.38 × 876,153.38
  4. Step 4: Simplify right side
    405,901.13x = 767,644,736,523.89
  5. Step 5: Solve for x
    x = 767,644,736,523.89/405,901.13
  6. Step 6: Final answer
    x = 1,891,211.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.