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Finding the Third Proportional to 642,855 and 1,368,952

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Solution

The third proportional to 642,855 and 1,368,952 is: 2,915,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,855 : 1,368,952 = 1,368,952 : x
  2. Step 2: Convert to fraction form
    642,855/1,368,952 = 1,368,952/x
  3. Step 3: Cross multiply
    642,855x = 1,368,952 × 1,368,952
  4. Step 4: Simplify right side
    642,855x = 1,874,029,578,304
  5. Step 5: Solve for x
    x = 1,874,029,578,304/642,855
  6. Step 6: Final answer
    x = 2,915,166.84

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.