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Finding the Third Proportional to 845,829 and 1,774,691

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Solution

The third proportional to 845,829 and 1,774,691 is: 3,723,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,829 : 1,774,691 = 1,774,691 : x
  2. Step 2: Convert to fraction form
    845,829/1,774,691 = 1,774,691/x
  3. Step 3: Cross multiply
    845,829x = 1,774,691 × 1,774,691
  4. Step 4: Simplify right side
    845,829x = 3,149,528,145,481
  5. Step 5: Solve for x
    x = 3,149,528,145,481/845,829
  6. Step 6: Final answer
    x = 3,723,599.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.