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Finding the Third Proportional to 1,226,824 and 1,862,312

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Solution

The third proportional to 1,226,824 and 1,862,312 is: 2,826,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,824 : 1,862,312 = 1,862,312 : x
  2. Step 2: Convert to fraction form
    1,226,824/1,862,312 = 1,862,312/x
  3. Step 3: Cross multiply
    1,226,824x = 1,862,312 × 1,862,312
  4. Step 4: Simplify right side
    1,226,824x = 3,468,205,985,344
  5. Step 5: Solve for x
    x = 3,468,205,985,344/1,226,824
  6. Step 6: Final answer
    x = 2,826,979.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.