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Finding the Third Proportional to 1,158,090.75 and 1,670,706

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Solution

The third proportional to 1,158,090.75 and 1,670,706 is: 2,410,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,090.75 : 1,670,706 = 1,670,706 : x
  2. Step 2: Convert to fraction form
    1,158,090.75/1,670,706 = 1,670,706/x
  3. Step 3: Cross multiply
    1,158,090.75x = 1,670,706 × 1,670,706
  4. Step 4: Simplify right side
    1,158,090.75x = 2,791,258,538,436
  5. Step 5: Solve for x
    x = 2,791,258,538,436/1,158,090.75
  6. Step 6: Final answer
    x = 2,410,224.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.