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Finding the Third Proportional to 516,930 and 1,160,148

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Solution

The third proportional to 516,930 and 1,160,148 is: 2,603,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,930 : 1,160,148 = 1,160,148 : x
  2. Step 2: Convert to fraction form
    516,930/1,160,148 = 1,160,148/x
  3. Step 3: Cross multiply
    516,930x = 1,160,148 × 1,160,148
  4. Step 4: Simplify right side
    516,930x = 1,345,943,381,904
  5. Step 5: Solve for x
    x = 1,345,943,381,904/516,930
  6. Step 6: Final answer
    x = 2,603,724.65

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.