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Finding the Third Proportional to 2,365,050 and 3,653,961

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Solution

The third proportional to 2,365,050 and 3,653,961 is: 5,645,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,050 : 3,653,961 = 3,653,961 : x
  2. Step 2: Convert to fraction form
    2,365,050/3,653,961 = 3,653,961/x
  3. Step 3: Cross multiply
    2,365,050x = 3,653,961 × 3,653,961
  4. Step 4: Simplify right side
    2,365,050x = 13,351,430,989,521
  5. Step 5: Solve for x
    x = 13,351,430,989,521/2,365,050
  6. Step 6: Final answer
    x = 5,645,306.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.