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Finding the Third Proportional to 946,644 and 2,053,788

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Solution

The third proportional to 946,644 and 2,053,788 is: 4,455,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,644 : 2,053,788 = 2,053,788 : x
  2. Step 2: Convert to fraction form
    946,644/2,053,788 = 2,053,788/x
  3. Step 3: Cross multiply
    946,644x = 2,053,788 × 2,053,788
  4. Step 4: Simplify right side
    946,644x = 4,218,045,148,944
  5. Step 5: Solve for x
    x = 4,218,045,148,944/946,644
  6. Step 6: Final answer
    x = 4,455,788.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.