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Finding the Third Proportional to 1,784,646 and 2,718,783

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Solution

The third proportional to 1,784,646 and 2,718,783 is: 4,141,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,646 : 2,718,783 = 2,718,783 : x
  2. Step 2: Convert to fraction form
    1,784,646/2,718,783 = 2,718,783/x
  3. Step 3: Cross multiply
    1,784,646x = 2,718,783 × 2,718,783
  4. Step 4: Simplify right side
    1,784,646x = 7,391,781,001,089
  5. Step 5: Solve for x
    x = 7,391,781,001,089/1,784,646
  6. Step 6: Final answer
    x = 4,141,875.20

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.