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Finding the Third Proportional to 438,411 and 956,255

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Solution

The third proportional to 438,411 and 956,255 is: 2,085,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,411 : 956,255 = 956,255 : x
  2. Step 2: Convert to fraction form
    438,411/956,255 = 956,255/x
  3. Step 3: Cross multiply
    438,411x = 956,255 × 956,255
  4. Step 4: Simplify right side
    438,411x = 914,423,625,025
  5. Step 5: Solve for x
    x = 914,423,625,025/438,411
  6. Step 6: Final answer
    x = 2,085,767.98

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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.