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Finding the Third Proportional to 835,732 and 1,804,465

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Solution

The third proportional to 835,732 and 1,804,465 is: 3,896,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,732 : 1,804,465 = 1,804,465 : x
  2. Step 2: Convert to fraction form
    835,732/1,804,465 = 1,804,465/x
  3. Step 3: Cross multiply
    835,732x = 1,804,465 × 1,804,465
  4. Step 4: Simplify right side
    835,732x = 3,256,093,936,225
  5. Step 5: Solve for x
    x = 3,256,093,936,225/835,732
  6. Step 6: Final answer
    x = 3,896,098.19

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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.