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Finding the Third Proportional to 840,784 and 1,845,080

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Solution

The third proportional to 840,784 and 1,845,080 is: 4,048,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,784 : 1,845,080 = 1,845,080 : x
  2. Step 2: Convert to fraction form
    840,784/1,845,080 = 1,845,080/x
  3. Step 3: Cross multiply
    840,784x = 1,845,080 × 1,845,080
  4. Step 4: Simplify right side
    840,784x = 3,404,320,206,400
  5. Step 5: Solve for x
    x = 3,404,320,206,400/840,784
  6. Step 6: Final answer
    x = 4,048,983.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.