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Finding the Third Proportional to 641,851 and 999,581

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Solution

The third proportional to 641,851 and 999,581 is: 1,556,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,851 : 999,581 = 999,581 : x
  2. Step 2: Convert to fraction form
    641,851/999,581 = 999,581/x
  3. Step 3: Cross multiply
    641,851x = 999,581 × 999,581
  4. Step 4: Simplify right side
    641,851x = 999,162,175,561
  5. Step 5: Solve for x
    x = 999,162,175,561/641,851
  6. Step 6: Final answer
    x = 1,556,688.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.