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Finding the Third Proportional to 1,470,824 and 3,177,982

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Solution

The third proportional to 1,470,824 and 3,177,982 is: 6,866,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470,824 : 3,177,982 = 3,177,982 : x
  2. Step 2: Convert to fraction form
    1,470,824/3,177,982 = 3,177,982/x
  3. Step 3: Cross multiply
    1,470,824x = 3,177,982 × 3,177,982
  4. Step 4: Simplify right side
    1,470,824x = 10,099,569,592,324
  5. Step 5: Solve for x
    x = 10,099,569,592,324/1,470,824
  6. Step 6: Final answer
    x = 6,866,606.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.