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Finding the Third Proportional to 931,729.75 and 1,970,886.50

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Solution

The third proportional to 931,729.75 and 1,970,886.50 is: 4,169,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,729.75 : 1,970,886.50 = 1,970,886.50 : x
  2. Step 2: Convert to fraction form
    931,729.75/1,970,886.50 = 1,970,886.50/x
  3. Step 3: Cross multiply
    931,729.75x = 1,970,886.50 × 1,970,886.50
  4. Step 4: Simplify right side
    931,729.75x = 3,884,393,595,882.25
  5. Step 5: Solve for x
    x = 3,884,393,595,882.25/931,729.75
  6. Step 6: Final answer
    x = 4,169,013.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.