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Finding the Third Proportional to 738,919 and 1,599,280

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Solution

The third proportional to 738,919 and 1,599,280 is: 3,461,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,919 : 1,599,280 = 1,599,280 : x
  2. Step 2: Convert to fraction form
    738,919/1,599,280 = 1,599,280/x
  3. Step 3: Cross multiply
    738,919x = 1,599,280 × 1,599,280
  4. Step 4: Simplify right side
    738,919x = 2,557,696,518,400
  5. Step 5: Solve for x
    x = 2,557,696,518,400/738,919
  6. Step 6: Final answer
    x = 3,461,403.10

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Why These Related Problems?

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