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Finding the Third Proportional to 2,178,900 and 4,654,260

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Solution

The third proportional to 2,178,900 and 4,654,260 is: 9,941,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178,900 : 4,654,260 = 4,654,260 : x
  2. Step 2: Convert to fraction form
    2,178,900/4,654,260 = 4,654,260/x
  3. Step 3: Cross multiply
    2,178,900x = 4,654,260 × 4,654,260
  4. Step 4: Simplify right side
    2,178,900x = 21,662,136,147,600
  5. Step 5: Solve for x
    x = 21,662,136,147,600/2,178,900
  6. Step 6: Final answer
    x = 9,941,776.19

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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.