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Finding the Third Proportional to 792,480 and 1,711,296

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Solution

The third proportional to 792,480 and 1,711,296 is: 3,695,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,480 : 1,711,296 = 1,711,296 : x
  2. Step 2: Convert to fraction form
    792,480/1,711,296 = 1,711,296/x
  3. Step 3: Cross multiply
    792,480x = 1,711,296 × 1,711,296
  4. Step 4: Simplify right side
    792,480x = 2,928,533,999,616
  5. Step 5: Solve for x
    x = 2,928,533,999,616/792,480
  6. Step 6: Final answer
    x = 3,695,404.30

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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.