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Finding the Third Proportional to 1,689,380 and 3,642,820

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Solution

The third proportional to 1,689,380 and 3,642,820 is: 7,855,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,380 : 3,642,820 = 3,642,820 : x
  2. Step 2: Convert to fraction form
    1,689,380/3,642,820 = 3,642,820/x
  3. Step 3: Cross multiply
    1,689,380x = 3,642,820 × 3,642,820
  4. Step 4: Simplify right side
    1,689,380x = 13,270,137,552,400
  5. Step 5: Solve for x
    x = 13,270,137,552,400/1,689,380
  6. Step 6: Final answer
    x = 7,855,034.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.