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Finding the Third Proportional to 997,439.06 and 1,579,663.27

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Solution

The third proportional to 997,439.06 and 1,579,663.27 is: 2,501,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,439.06 : 1,579,663.27 = 1,579,663.27 : x
  2. Step 2: Convert to fraction form
    997,439.06/1,579,663.27 = 1,579,663.27/x
  3. Step 3: Cross multiply
    997,439.06x = 1,579,663.27 × 1,579,663.27
  4. Step 4: Simplify right side
    997,439.06x = 2,495,336,032,765.04
  5. Step 5: Solve for x
    x = 2,495,336,032,765.04/997,439.06
  6. Step 6: Final answer
    x = 2,501,742.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.