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Finding the Third Proportional to 1,424,478 and 3,119,114

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Solution

The third proportional to 1,424,478 and 3,119,114 is: 6,829,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,478 : 3,119,114 = 3,119,114 : x
  2. Step 2: Convert to fraction form
    1,424,478/3,119,114 = 3,119,114/x
  3. Step 3: Cross multiply
    1,424,478x = 3,119,114 × 3,119,114
  4. Step 4: Simplify right side
    1,424,478x = 9,728,872,144,996
  5. Step 5: Solve for x
    x = 9,728,872,144,996/1,424,478
  6. Step 6: Final answer
    x = 6,829,780.55

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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.