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Finding the Third Proportional to 1,823,440 and 3,967,963

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Solution

The third proportional to 1,823,440 and 3,967,963 is: 8,634,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,440 : 3,967,963 = 3,967,963 : x
  2. Step 2: Convert to fraction form
    1,823,440/3,967,963 = 3,967,963/x
  3. Step 3: Cross multiply
    1,823,440x = 3,967,963 × 3,967,963
  4. Step 4: Simplify right side
    1,823,440x = 15,744,730,369,369
  5. Step 5: Solve for x
    x = 15,744,730,369,369/1,823,440
  6. Step 6: Final answer
    x = 8,634,630.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.