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Finding the Third Proportional to 530,364.59 and 1,144,817.61

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Solution

The third proportional to 530,364.59 and 1,144,817.61 is: 2,471,144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,364.59 : 1,144,817.61 = 1,144,817.61 : x
  2. Step 2: Convert to fraction form
    530,364.59/1,144,817.61 = 1,144,817.61/x
  3. Step 3: Cross multiply
    530,364.59x = 1,144,817.61 × 1,144,817.61
  4. Step 4: Simplify right side
    530,364.59x = 1,310,607,367,679.09
  5. Step 5: Solve for x
    x = 1,310,607,367,679.09/530,364.59
  6. Step 6: Final answer
    x = 2,471,144.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.