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Finding the Third Proportional to 437,040 and 953,514

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Solution

The third proportional to 437,040 and 953,514 is: 2,080,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,040 : 953,514 = 953,514 : x
  2. Step 2: Convert to fraction form
    437,040/953,514 = 953,514/x
  3. Step 3: Cross multiply
    437,040x = 953,514 × 953,514
  4. Step 4: Simplify right side
    437,040x = 909,188,948,196
  5. Step 5: Solve for x
    x = 909,188,948,196/437,040
  6. Step 6: Final answer
    x = 2,080,333.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.