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Finding the Third Proportional to 594,064.13 and 1,277,690.63

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Solution

The third proportional to 594,064.13 and 1,277,690.63 is: 2,748,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,064.13 : 1,277,690.63 = 1,277,690.63 : x
  2. Step 2: Convert to fraction form
    594,064.13/1,277,690.63 = 1,277,690.63/x
  3. Step 3: Cross multiply
    594,064.13x = 1,277,690.63 × 1,277,690.63
  4. Step 4: Simplify right side
    594,064.13x = 1,632,493,333,212.89
  5. Step 5: Solve for x
    x = 1,632,493,333,212.89/594,064.13
  6. Step 6: Final answer
    x = 2,748,008.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.