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Finding the Third Proportional to 1,533,383.16 and 3,345,274.69

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Solution

The third proportional to 1,533,383.16 and 3,345,274.69 is: 7,298,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,383.16 : 3,345,274.69 = 3,345,274.69 : x
  2. Step 2: Convert to fraction form
    1,533,383.16/3,345,274.69 = 3,345,274.69/x
  3. Step 3: Cross multiply
    1,533,383.16x = 3,345,274.69 × 3,345,274.69
  4. Step 4: Simplify right side
    1,533,383.16x = 11,190,862,734,828.22
  5. Step 5: Solve for x
    x = 11,190,862,734,828.22/1,533,383.16
  6. Step 6: Final answer
    x = 7,298,151.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.