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Finding the Third Proportional to 947,977.88 and 1,341,359.63

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Solution

The third proportional to 947,977.88 and 1,341,359.63 is: 1,897,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,977.88 : 1,341,359.63 = 1,341,359.63 : x
  2. Step 2: Convert to fraction form
    947,977.88/1,341,359.63 = 1,341,359.63/x
  3. Step 3: Cross multiply
    947,977.88x = 1,341,359.63 × 1,341,359.63
  4. Step 4: Simplify right side
    947,977.88x = 1,799,245,643,580.14
  5. Step 5: Solve for x
    x = 1,799,245,643,580.14/947,977.88
  6. Step 6: Final answer
    x = 1,897,982.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.