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Finding the Third Proportional to 738,922 and 1,599,284

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Solution

The third proportional to 738,922 and 1,599,284 is: 3,461,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,922 : 1,599,284 = 1,599,284 : x
  2. Step 2: Convert to fraction form
    738,922/1,599,284 = 1,599,284/x
  3. Step 3: Cross multiply
    738,922x = 1,599,284 × 1,599,284
  4. Step 4: Simplify right side
    738,922x = 2,557,709,312,656
  5. Step 5: Solve for x
    x = 2,557,709,312,656/738,922
  6. Step 6: Final answer
    x = 3,461,406.36

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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.