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Finding the Third Proportional to 857,836 and 1,261,778

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Solution

The third proportional to 857,836 and 1,261,778 is: 1,855,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,836 : 1,261,778 = 1,261,778 : x
  2. Step 2: Convert to fraction form
    857,836/1,261,778 = 1,261,778/x
  3. Step 3: Cross multiply
    857,836x = 1,261,778 × 1,261,778
  4. Step 4: Simplify right side
    857,836x = 1,592,083,721,284
  5. Step 5: Solve for x
    x = 1,592,083,721,284/857,836
  6. Step 6: Final answer
    x = 1,855,930.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.