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Finding the Third Proportional to 2,301,820 and 3,484,706

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Solution

The third proportional to 2,301,820 and 3,484,706 is: 5,275,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,820 : 3,484,706 = 3,484,706 : x
  2. Step 2: Convert to fraction form
    2,301,820/3,484,706 = 3,484,706/x
  3. Step 3: Cross multiply
    2,301,820x = 3,484,706 × 3,484,706
  4. Step 4: Simplify right side
    2,301,820x = 12,143,175,906,436
  5. Step 5: Solve for x
    x = 12,143,175,906,436/2,301,820
  6. Step 6: Final answer
    x = 5,275,467.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.