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Finding the Third Proportional to 438,705 and 956,736

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Solution

The third proportional to 438,705 and 956,736 is: 2,086,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,705 : 956,736 = 956,736 : x
  2. Step 2: Convert to fraction form
    438,705/956,736 = 956,736/x
  3. Step 3: Cross multiply
    438,705x = 956,736 × 956,736
  4. Step 4: Simplify right side
    438,705x = 915,343,773,696
  5. Step 5: Solve for x
    x = 915,343,773,696/438,705
  6. Step 6: Final answer
    x = 2,086,467.61

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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.