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Finding the Third Proportional to 1,675,824 and 3,643,248

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Solution

The third proportional to 1,675,824 and 3,643,248 is: 7,920,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675,824 : 3,643,248 = 3,643,248 : x
  2. Step 2: Convert to fraction form
    1,675,824/3,643,248 = 3,643,248/x
  3. Step 3: Cross multiply
    1,675,824x = 3,643,248 × 3,643,248
  4. Step 4: Simplify right side
    1,675,824x = 13,273,255,989,504
  5. Step 5: Solve for x
    x = 13,273,255,989,504/1,675,824
  6. Step 6: Final answer
    x = 7,920,435.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.