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Finding the Third Proportional to 1,578,780 and 3,458,024

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Solution

The third proportional to 1,578,780 and 3,458,024 is: 7,574,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,780 : 3,458,024 = 3,458,024 : x
  2. Step 2: Convert to fraction form
    1,578,780/3,458,024 = 3,458,024/x
  3. Step 3: Cross multiply
    1,578,780x = 3,458,024 × 3,458,024
  4. Step 4: Simplify right side
    1,578,780x = 11,957,929,984,576
  5. Step 5: Solve for x
    x = 11,957,929,984,576/1,578,780
  6. Step 6: Final answer
    x = 7,574,158.52

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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.