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Finding the Third Proportional to 3,677,712 and 5,709,024

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Solution

The third proportional to 3,677,712 and 5,709,024 is: 8,862,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677,712 : 5,709,024 = 5,709,024 : x
  2. Step 2: Convert to fraction form
    3,677,712/5,709,024 = 5,709,024/x
  3. Step 3: Cross multiply
    3,677,712x = 5,709,024 × 5,709,024
  4. Step 4: Simplify right side
    3,677,712x = 32,592,955,032,576
  5. Step 5: Solve for x
    x = 32,592,955,032,576/3,677,712
  6. Step 6: Final answer
    x = 8,862,291.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.