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Finding the Third Proportional to 831,498 and 1,796,053

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Solution

The third proportional to 831,498 and 1,796,053 is: 3,879,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,498 : 1,796,053 = 1,796,053 : x
  2. Step 2: Convert to fraction form
    831,498/1,796,053 = 1,796,053/x
  3. Step 3: Cross multiply
    831,498x = 1,796,053 × 1,796,053
  4. Step 4: Simplify right side
    831,498x = 3,225,806,378,809
  5. Step 5: Solve for x
    x = 3,225,806,378,809/831,498
  6. Step 6: Final answer
    x = 3,879,511.89

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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.