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Finding the Third Proportional to 431,646 and 939,922.50

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Solution

The third proportional to 431,646 and 939,922.50 is: 2,046,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,646 : 939,922.50 = 939,922.50 : x
  2. Step 2: Convert to fraction form
    431,646/939,922.50 = 939,922.50/x
  3. Step 3: Cross multiply
    431,646x = 939,922.50 × 939,922.50
  4. Step 4: Simplify right side
    431,646x = 883,454,306,006.25
  5. Step 5: Solve for x
    x = 883,454,306,006.25/431,646
  6. Step 6: Final answer
    x = 2,046,710.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.