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Finding the Third Proportional to 1,146,846 and 1,821,645

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Solution

The third proportional to 1,146,846 and 1,821,645 is: 2,893,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,846 : 1,821,645 = 1,821,645 : x
  2. Step 2: Convert to fraction form
    1,146,846/1,821,645 = 1,821,645/x
  3. Step 3: Cross multiply
    1,146,846x = 1,821,645 × 1,821,645
  4. Step 4: Simplify right side
    1,146,846x = 3,318,390,506,025
  5. Step 5: Solve for x
    x = 3,318,390,506,025/1,146,846
  6. Step 6: Final answer
    x = 2,893,492.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.