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Finding the Third Proportional to 771,012.47 and 1,670,733.28

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Solution

The third proportional to 771,012.47 and 1,670,733.28 is: 3,620,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,012.47 : 1,670,733.28 = 1,670,733.28 : x
  2. Step 2: Convert to fraction form
    771,012.47/1,670,733.28 = 1,670,733.28/x
  3. Step 3: Cross multiply
    771,012.47x = 1,670,733.28 × 1,670,733.28
  4. Step 4: Simplify right side
    771,012.47x = 2,791,349,697,076.39
  5. Step 5: Solve for x
    x = 2,791,349,697,076.39/771,012.47
  6. Step 6: Final answer
    x = 3,620,369.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.