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Finding the Third Proportional to 1,146,186 and 2,461,518

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Solution

The third proportional to 1,146,186 and 2,461,518 is: 5,286,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,186 : 2,461,518 = 2,461,518 : x
  2. Step 2: Convert to fraction form
    1,146,186/2,461,518 = 2,461,518/x
  3. Step 3: Cross multiply
    1,146,186x = 2,461,518 × 2,461,518
  4. Step 4: Simplify right side
    1,146,186x = 6,059,070,864,324
  5. Step 5: Solve for x
    x = 6,059,070,864,324/1,146,186
  6. Step 6: Final answer
    x = 5,286,289.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.