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Finding the Third Proportional to 446,465 and 1,053,725

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Solution

The third proportional to 446,465 and 1,053,725 is: 2,486,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,465 : 1,053,725 = 1,053,725 : x
  2. Step 2: Convert to fraction form
    446,465/1,053,725 = 1,053,725/x
  3. Step 3: Cross multiply
    446,465x = 1,053,725 × 1,053,725
  4. Step 4: Simplify right side
    446,465x = 1,110,336,375,625
  5. Step 5: Solve for x
    x = 1,110,336,375,625/446,465
  6. Step 6: Final answer
    x = 2,486,950.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.