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Finding the Third Proportional to 426,531 and 933,414

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Solution

The third proportional to 426,531 and 933,414 is: 2,042,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,531 : 933,414 = 933,414 : x
  2. Step 2: Convert to fraction form
    426,531/933,414 = 933,414/x
  3. Step 3: Cross multiply
    426,531x = 933,414 × 933,414
  4. Step 4: Simplify right side
    426,531x = 871,261,695,396
  5. Step 5: Solve for x
    x = 871,261,695,396/426,531
  6. Step 6: Final answer
    x = 2,042,669.10

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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.