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Finding the Third Proportional to 431,056 and 936,726

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Solution

The third proportional to 431,056 and 936,726 is: 2,035,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,056 : 936,726 = 936,726 : x
  2. Step 2: Convert to fraction form
    431,056/936,726 = 936,726/x
  3. Step 3: Cross multiply
    431,056x = 936,726 × 936,726
  4. Step 4: Simplify right side
    431,056x = 877,455,599,076
  5. Step 5: Solve for x
    x = 877,455,599,076/431,056
  6. Step 6: Final answer
    x = 2,035,595.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.