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Finding the Third Proportional to 554,108 and 842,826

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Solution

The third proportional to 554,108 and 842,826 is: 1,281,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,108 : 842,826 = 842,826 : x
  2. Step 2: Convert to fraction form
    554,108/842,826 = 842,826/x
  3. Step 3: Cross multiply
    554,108x = 842,826 × 842,826
  4. Step 4: Simplify right side
    554,108x = 710,355,666,276
  5. Step 5: Solve for x
    x = 710,355,666,276/554,108
  6. Step 6: Final answer
    x = 1,281,980.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.