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Finding the Third Proportional to 1,653,297 and 2,340,057

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Solution

The third proportional to 1,653,297 and 2,340,057 is: 3,312,088.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653,297 : 2,340,057 = 2,340,057 : x
  2. Step 2: Convert to fraction form
    1,653,297/2,340,057 = 2,340,057/x
  3. Step 3: Cross multiply
    1,653,297x = 2,340,057 × 2,340,057
  4. Step 4: Simplify right side
    1,653,297x = 5,475,866,763,249
  5. Step 5: Solve for x
    x = 5,475,866,763,249/1,653,297
  6. Step 6: Final answer
    x = 3,312,088.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.