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Finding the Third Proportional to 784,749.94 and 1,681,597.13

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Solution

The third proportional to 784,749.94 and 1,681,597.13 is: 3,603,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,749.94 : 1,681,597.13 = 1,681,597.13 : x
  2. Step 2: Convert to fraction form
    784,749.94/1,681,597.13 = 1,681,597.13/x
  3. Step 3: Cross multiply
    784,749.94x = 1,681,597.13 × 1,681,597.13
  4. Step 4: Simplify right side
    784,749.94x = 2,827,768,890,808.27
  5. Step 5: Solve for x
    x = 2,827,768,890,808.27/784,749.94
  6. Step 6: Final answer
    x = 3,603,401.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.