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Finding the Third Proportional to 673,722.56 and 1,017,587.81

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Solution

The third proportional to 673,722.56 and 1,017,587.81 is: 1,536,960.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,722.56 : 1,017,587.81 = 1,017,587.81 : x
  2. Step 2: Convert to fraction form
    673,722.56/1,017,587.81 = 1,017,587.81/x
  3. Step 3: Cross multiply
    673,722.56x = 1,017,587.81 × 1,017,587.81
  4. Step 4: Simplify right side
    673,722.56x = 1,035,484,956,148.54
  5. Step 5: Solve for x
    x = 1,035,484,956,148.54/673,722.56
  6. Step 6: Final answer
    x = 1,536,960.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.