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Finding the Third Proportional to 619,842 and 1,357,620

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Solution

The third proportional to 619,842 and 1,357,620 is: 2,973,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,842 : 1,357,620 = 1,357,620 : x
  2. Step 2: Convert to fraction form
    619,842/1,357,620 = 1,357,620/x
  3. Step 3: Cross multiply
    619,842x = 1,357,620 × 1,357,620
  4. Step 4: Simplify right side
    619,842x = 1,843,132,064,400
  5. Step 5: Solve for x
    x = 1,843,132,064,400/619,842
  6. Step 6: Final answer
    x = 2,973,551.43

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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.