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Finding the Third Proportional to 642,420 and 1,399,248

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Solution

The third proportional to 642,420 and 1,399,248 is: 3,047,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,420 : 1,399,248 = 1,399,248 : x
  2. Step 2: Convert to fraction form
    642,420/1,399,248 = 1,399,248/x
  3. Step 3: Cross multiply
    642,420x = 1,399,248 × 1,399,248
  4. Step 4: Simplify right side
    642,420x = 1,957,894,965,504
  5. Step 5: Solve for x
    x = 1,957,894,965,504/642,420
  6. Step 6: Final answer
    x = 3,047,686.82

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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.