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Finding the Third Proportional to 859,068 and 1,828,728

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Solution

The third proportional to 859,068 and 1,828,728 is: 3,892,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,068 : 1,828,728 = 1,828,728 : x
  2. Step 2: Convert to fraction form
    859,068/1,828,728 = 1,828,728/x
  3. Step 3: Cross multiply
    859,068x = 1,828,728 × 1,828,728
  4. Step 4: Simplify right side
    859,068x = 3,344,246,097,984
  5. Step 5: Solve for x
    x = 3,344,246,097,984/859,068
  6. Step 6: Final answer
    x = 3,892,877.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.