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Finding the Third Proportional to 1,297,590 and 2,847,780

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Solution

The third proportional to 1,297,590 and 2,847,780 is: 6,249,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,590 : 2,847,780 = 2,847,780 : x
  2. Step 2: Convert to fraction form
    1,297,590/2,847,780 = 2,847,780/x
  3. Step 3: Cross multiply
    1,297,590x = 2,847,780 × 2,847,780
  4. Step 4: Simplify right side
    1,297,590x = 8,109,850,928,400
  5. Step 5: Solve for x
    x = 8,109,850,928,400/1,297,590
  6. Step 6: Final answer
    x = 6,249,933.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.