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Finding the Third Proportional to 530,590.71 and 1,145,207.95

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Solution

The third proportional to 530,590.71 and 1,145,207.95 is: 2,471,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,590.71 : 1,145,207.95 = 1,145,207.95 : x
  2. Step 2: Convert to fraction form
    530,590.71/1,145,207.95 = 1,145,207.95/x
  3. Step 3: Cross multiply
    530,590.71x = 1,145,207.95 × 1,145,207.95
  4. Step 4: Simplify right side
    530,590.71x = 1,311,501,255,900.75
  5. Step 5: Solve for x
    x = 1,311,501,255,900.75/530,590.71
  6. Step 6: Final answer
    x = 2,471,775.76

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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.