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Finding the Third Proportional to 759,552 and 1,620,768

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Solution

The third proportional to 759,552 and 1,620,768 is: 3,458,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,552 : 1,620,768 = 1,620,768 : x
  2. Step 2: Convert to fraction form
    759,552/1,620,768 = 1,620,768/x
  3. Step 3: Cross multiply
    759,552x = 1,620,768 × 1,620,768
  4. Step 4: Simplify right side
    759,552x = 2,626,888,909,824
  5. Step 5: Solve for x
    x = 2,626,888,909,824/759,552
  6. Step 6: Final answer
    x = 3,458,471.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.