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Finding the Third Proportional to 438,688 and 952,544

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Solution

The third proportional to 438,688 and 952,544 is: 2,068,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,688 : 952,544 = 952,544 : x
  2. Step 2: Convert to fraction form
    438,688/952,544 = 952,544/x
  3. Step 3: Cross multiply
    438,688x = 952,544 × 952,544
  4. Step 4: Simplify right side
    438,688x = 907,340,071,936
  5. Step 5: Solve for x
    x = 907,340,071,936/438,688
  6. Step 6: Final answer
    x = 2,068,303.83

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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.