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Finding the Third Proportional to 455,004 and 979,776

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Solution

The third proportional to 455,004 and 979,776 is: 2,109,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,004 : 979,776 = 979,776 : x
  2. Step 2: Convert to fraction form
    455,004/979,776 = 979,776/x
  3. Step 3: Cross multiply
    455,004x = 979,776 × 979,776
  4. Step 4: Simplify right side
    455,004x = 959,961,010,176
  5. Step 5: Solve for x
    x = 959,961,010,176/455,004
  6. Step 6: Final answer
    x = 2,109,785.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.