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Finding the Third Proportional to 619,376.63 and 906,648.19

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Solution

The third proportional to 619,376.63 and 906,648.19 is: 1,327,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,376.63 : 906,648.19 = 906,648.19 : x
  2. Step 2: Convert to fraction form
    619,376.63/906,648.19 = 906,648.19/x
  3. Step 3: Cross multiply
    619,376.63x = 906,648.19 × 906,648.19
  4. Step 4: Simplify right side
    619,376.63x = 822,010,935,897.04
  5. Step 5: Solve for x
    x = 822,010,935,897.04/619,376.63
  6. Step 6: Final answer
    x = 1,327,158.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.