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Finding the Third Proportional to 1,205,499 and 2,578,778

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Solution

The third proportional to 1,205,499 and 2,578,778 is: 5,516,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,499 : 2,578,778 = 2,578,778 : x
  2. Step 2: Convert to fraction form
    1,205,499/2,578,778 = 2,578,778/x
  3. Step 3: Cross multiply
    1,205,499x = 2,578,778 × 2,578,778
  4. Step 4: Simplify right side
    1,205,499x = 6,650,095,973,284
  5. Step 5: Solve for x
    x = 6,650,095,973,284/1,205,499
  6. Step 6: Final answer
    x = 5,516,467.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.