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Finding the Third Proportional to 431,178 and 936,964

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Solution

The third proportional to 431,178 and 936,964 is: 2,036,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,178 : 936,964 = 936,964 : x
  2. Step 2: Convert to fraction form
    431,178/936,964 = 936,964/x
  3. Step 3: Cross multiply
    431,178x = 936,964 × 936,964
  4. Step 4: Simplify right side
    431,178x = 877,901,537,296
  5. Step 5: Solve for x
    x = 877,901,537,296/431,178
  6. Step 6: Final answer
    x = 2,036,053.64

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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.