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Finding the Third Proportional to 931,353.75 and 1,423,762.13

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Solution

The third proportional to 931,353.75 and 1,423,762.13 is: 2,176,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,353.75 : 1,423,762.13 = 1,423,762.13 : x
  2. Step 2: Convert to fraction form
    931,353.75/1,423,762.13 = 1,423,762.13/x
  3. Step 3: Cross multiply
    931,353.75x = 1,423,762.13 × 1,423,762.13
  4. Step 4: Simplify right side
    931,353.75x = 2,027,098,588,584.52
  5. Step 5: Solve for x
    x = 2,027,098,588,584.52/931,353.75
  6. Step 6: Final answer
    x = 2,176,507.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.