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Finding the Third Proportional to 426,114 and 932,411.25

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Solution

The third proportional to 426,114 and 932,411.25 is: 2,040,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,114 : 932,411.25 = 932,411.25 : x
  2. Step 2: Convert to fraction form
    426,114/932,411.25 = 932,411.25/x
  3. Step 3: Cross multiply
    426,114x = 932,411.25 × 932,411.25
  4. Step 4: Simplify right side
    426,114x = 869,390,739,126.56
  5. Step 5: Solve for x
    x = 869,390,739,126.56/426,114
  6. Step 6: Final answer
    x = 2,040,277.34

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