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Finding the Third Proportional to 3,643,046 and 5,435,007

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Solution

The third proportional to 3,643,046 and 5,435,007 is: 8,108,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,046 : 5,435,007 = 5,435,007 : x
  2. Step 2: Convert to fraction form
    3,643,046/5,435,007 = 5,435,007/x
  3. Step 3: Cross multiply
    3,643,046x = 5,435,007 × 5,435,007
  4. Step 4: Simplify right side
    3,643,046x = 29,539,301,090,049
  5. Step 5: Solve for x
    x = 29,539,301,090,049/3,643,046
  6. Step 6: Final answer
    x = 8,108,407.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.