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Finding the Third Proportional to 924,056 and 1,382,323

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Solution

The third proportional to 924,056 and 1,382,323 is: 2,067,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,056 : 1,382,323 = 1,382,323 : x
  2. Step 2: Convert to fraction form
    924,056/1,382,323 = 1,382,323/x
  3. Step 3: Cross multiply
    924,056x = 1,382,323 × 1,382,323
  4. Step 4: Simplify right side
    924,056x = 1,910,816,876,329
  5. Step 5: Solve for x
    x = 1,910,816,876,329/924,056
  6. Step 6: Final answer
    x = 2,067,858.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.