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Finding the Third Proportional to 431,026 and 942,308

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Solution

The third proportional to 431,026 and 942,308 is: 2,060,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,026 : 942,308 = 942,308 : x
  2. Step 2: Convert to fraction form
    431,026/942,308 = 942,308/x
  3. Step 3: Cross multiply
    431,026x = 942,308 × 942,308
  4. Step 4: Simplify right side
    431,026x = 887,944,366,864
  5. Step 5: Solve for x
    x = 887,944,366,864/431,026
  6. Step 6: Final answer
    x = 2,060,071.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.