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Finding the Third Proportional to 435,715 and 938,173

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Solution

The third proportional to 435,715 and 938,173 is: 2,020,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,715 : 938,173 = 938,173 : x
  2. Step 2: Convert to fraction form
    435,715/938,173 = 938,173/x
  3. Step 3: Cross multiply
    435,715x = 938,173 × 938,173
  4. Step 4: Simplify right side
    435,715x = 880,168,577,929
  5. Step 5: Solve for x
    x = 880,168,577,929/435,715
  6. Step 6: Final answer
    x = 2,020,055.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.