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Finding the Third Proportional to 1,681,749.21 and 3,587,726.67

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Solution

The third proportional to 1,681,749.21 and 3,587,726.67 is: 7,653,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,749.21 : 3,587,726.67 = 3,587,726.67 : x
  2. Step 2: Convert to fraction form
    1,681,749.21/3,587,726.67 = 3,587,726.67/x
  3. Step 3: Cross multiply
    1,681,749.21x = 3,587,726.67 × 3,587,726.67
  4. Step 4: Simplify right side
    1,681,749.21x = 12,871,782,672,083.26
  5. Step 5: Solve for x
    x = 12,871,782,672,083.26/1,681,749.21
  6. Step 6: Final answer
    x = 7,653,806.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.