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Finding the Third Proportional to 931,405.71 and 1,458,002.85

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Solution

The third proportional to 931,405.71 and 1,458,002.85 is: 2,282,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,405.71 : 1,458,002.85 = 1,458,002.85 : x
  2. Step 2: Convert to fraction form
    931,405.71/1,458,002.85 = 1,458,002.85/x
  3. Step 3: Cross multiply
    931,405.71x = 1,458,002.85 × 1,458,002.85
  4. Step 4: Simplify right side
    931,405.71x = 2,125,772,303,773.59
  5. Step 5: Solve for x
    x = 2,125,772,303,773.59/931,405.71
  6. Step 6: Final answer
    x = 2,282,326.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.