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Finding the Third Proportional to 817,280 and 1,732,848

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Solution

The third proportional to 817,280 and 1,732,848 is: 3,674,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,280 : 1,732,848 = 1,732,848 : x
  2. Step 2: Convert to fraction form
    817,280/1,732,848 = 1,732,848/x
  3. Step 3: Cross multiply
    817,280x = 1,732,848 × 1,732,848
  4. Step 4: Simplify right side
    817,280x = 3,002,762,191,104
  5. Step 5: Solve for x
    x = 3,002,762,191,104/817,280
  6. Step 6: Final answer
    x = 3,674,092.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.