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Finding the Third Proportional to 1,468,032 and 3,112,480

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Solution

The third proportional to 1,468,032 and 3,112,480 is: 6,598,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,032 : 3,112,480 = 3,112,480 : x
  2. Step 2: Convert to fraction form
    1,468,032/3,112,480 = 3,112,480/x
  3. Step 3: Cross multiply
    1,468,032x = 3,112,480 × 3,112,480
  4. Step 4: Simplify right side
    1,468,032x = 9,687,531,750,400
  5. Step 5: Solve for x
    x = 9,687,531,750,400/1,468,032
  6. Step 6: Final answer
    x = 6,598,992.22

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.