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Finding the Third Proportional to 435,926 and 955,950

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Solution

The third proportional to 435,926 and 955,950 is: 2,096,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,926 : 955,950 = 955,950 : x
  2. Step 2: Convert to fraction form
    435,926/955,950 = 955,950/x
  3. Step 3: Cross multiply
    435,926x = 955,950 × 955,950
  4. Step 4: Simplify right side
    435,926x = 913,840,402,500
  5. Step 5: Solve for x
    x = 913,840,402,500/435,926
  6. Step 6: Final answer
    x = 2,096,320.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.