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Finding the Third Proportional to 437,688 and 952,062

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Solution

The third proportional to 437,688 and 952,062 is: 2,070,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,688 : 952,062 = 952,062 : x
  2. Step 2: Convert to fraction form
    437,688/952,062 = 952,062/x
  3. Step 3: Cross multiply
    437,688x = 952,062 × 952,062
  4. Step 4: Simplify right side
    437,688x = 906,422,051,844
  5. Step 5: Solve for x
    x = 906,422,051,844/437,688
  6. Step 6: Final answer
    x = 2,070,931.92

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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.