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Finding the Third Proportional to 1,480,827 and 3,148,503

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Solution

The third proportional to 1,480,827 and 3,148,503 is: 6,694,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,827 : 3,148,503 = 3,148,503 : x
  2. Step 2: Convert to fraction form
    1,480,827/3,148,503 = 3,148,503/x
  3. Step 3: Cross multiply
    1,480,827x = 3,148,503 × 3,148,503
  4. Step 4: Simplify right side
    1,480,827x = 9,913,071,141,009
  5. Step 5: Solve for x
    x = 9,913,071,141,009/1,480,827
  6. Step 6: Final answer
    x = 6,694,280.39

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.