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Finding the Third Proportional to 455,901 and 1,055,416.50

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Solution

The third proportional to 455,901 and 1,055,416.50 is: 2,443,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,901 : 1,055,416.50 = 1,055,416.50 : x
  2. Step 2: Convert to fraction form
    455,901/1,055,416.50 = 1,055,416.50/x
  3. Step 3: Cross multiply
    455,901x = 1,055,416.50 × 1,055,416.50
  4. Step 4: Simplify right side
    455,901x = 1,113,903,988,472.25
  5. Step 5: Solve for x
    x = 1,113,903,988,472.25/455,901
  6. Step 6: Final answer
    x = 2,443,302.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.