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Finding the Third Proportional to 758,851 and 1,625,289

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Solution

The third proportional to 758,851 and 1,625,289 is: 3,481,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,851 : 1,625,289 = 1,625,289 : x
  2. Step 2: Convert to fraction form
    758,851/1,625,289 = 1,625,289/x
  3. Step 3: Cross multiply
    758,851x = 1,625,289 × 1,625,289
  4. Step 4: Simplify right side
    758,851x = 2,641,564,333,521
  5. Step 5: Solve for x
    x = 2,641,564,333,521/758,851
  6. Step 6: Final answer
    x = 3,481,005.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.