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Finding the Third Proportional to 1,430,240 and 2,120,612

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Solution

The third proportional to 1,430,240 and 2,120,612 is: 3,144,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,240 : 2,120,612 = 2,120,612 : x
  2. Step 2: Convert to fraction form
    1,430,240/2,120,612 = 2,120,612/x
  3. Step 3: Cross multiply
    1,430,240x = 2,120,612 × 2,120,612
  4. Step 4: Simplify right side
    1,430,240x = 4,496,995,254,544
  5. Step 5: Solve for x
    x = 4,496,995,254,544/1,430,240
  6. Step 6: Final answer
    x = 3,144,224.22

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.