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Finding the Third Proportional to 1,753,662.66 and 4,097,348.30

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Solution

The third proportional to 1,753,662.66 and 4,097,348.30 is: 9,573,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,662.66 : 4,097,348.30 = 4,097,348.30 : x
  2. Step 2: Convert to fraction form
    1,753,662.66/4,097,348.30 = 4,097,348.30/x
  3. Step 3: Cross multiply
    1,753,662.66x = 4,097,348.30 × 4,097,348.30
  4. Step 4: Simplify right side
    1,753,662.66x = 16,788,263,065,904.46
  5. Step 5: Solve for x
    x = 16,788,263,065,904.46/1,753,662.66
  6. Step 6: Final answer
    x = 9,573,256.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.