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Finding the Third Proportional to 909,723.66 and 1,381,193.02

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Solution

The third proportional to 909,723.66 and 1,381,193.02 is: 2,097,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,723.66 : 1,381,193.02 = 1,381,193.02 : x
  2. Step 2: Convert to fraction form
    909,723.66/1,381,193.02 = 1,381,193.02/x
  3. Step 3: Cross multiply
    909,723.66x = 1,381,193.02 × 1,381,193.02
  4. Step 4: Simplify right side
    909,723.66x = 1,907,694,146,411.28
  5. Step 5: Solve for x
    x = 1,907,694,146,411.28/909,723.66
  6. Step 6: Final answer
    x = 2,097,004.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.