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Finding the Third Proportional to 454,176 and 955,403

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Solution

The third proportional to 454,176 and 955,403 is: 2,009,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,176 : 955,403 = 955,403 : x
  2. Step 2: Convert to fraction form
    454,176/955,403 = 955,403/x
  3. Step 3: Cross multiply
    454,176x = 955,403 × 955,403
  4. Step 4: Simplify right side
    454,176x = 912,794,892,409
  5. Step 5: Solve for x
    x = 912,794,892,409/454,176
  6. Step 6: Final answer
    x = 2,009,782.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.