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Finding the Third Proportional to 1,202,064 and 1,867,247.63

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Solution

The third proportional to 1,202,064 and 1,867,247.63 is: 2,900,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,064 : 1,867,247.63 = 1,867,247.63 : x
  2. Step 2: Convert to fraction form
    1,202,064/1,867,247.63 = 1,867,247.63/x
  3. Step 3: Cross multiply
    1,202,064x = 1,867,247.63 × 1,867,247.63
  4. Step 4: Simplify right side
    1,202,064x = 3,486,613,693,068.14
  5. Step 5: Solve for x
    x = 3,486,613,693,068.14/1,202,064
  6. Step 6: Final answer
    x = 2,900,522.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.