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Finding the Third Proportional to 2,365,046 and 3,653,955

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Solution

The third proportional to 2,365,046 and 3,653,955 is: 5,645,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,046 : 3,653,955 = 3,653,955 : x
  2. Step 2: Convert to fraction form
    2,365,046/3,653,955 = 3,653,955/x
  3. Step 3: Cross multiply
    2,365,046x = 3,653,955 × 3,653,955
  4. Step 4: Simplify right side
    2,365,046x = 13,351,387,142,025
  5. Step 5: Solve for x
    x = 13,351,387,142,025/2,365,046
  6. Step 6: Final answer
    x = 5,645,297.02

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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.