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Finding the Third Proportional to 3,859,712.63 and 5,677,302.94

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Solution

The third proportional to 3,859,712.63 and 5,677,302.94 is: 8,350,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859,712.63 : 5,677,302.94 = 5,677,302.94 : x
  2. Step 2: Convert to fraction form
    3,859,712.63/5,677,302.94 = 5,677,302.94/x
  3. Step 3: Cross multiply
    3,859,712.63x = 5,677,302.94 × 5,677,302.94
  4. Step 4: Simplify right side
    3,859,712.63x = 32,231,768,644,146.13
  5. Step 5: Solve for x
    x = 32,231,768,644,146.13/3,859,712.63
  6. Step 6: Final answer
    x = 8,350,820.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.