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Finding the Third Proportional to 1,604,424 and 3,422,352

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Solution

The third proportional to 1,604,424 and 3,422,352 is: 7,300,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,424 : 3,422,352 = 3,422,352 : x
  2. Step 2: Convert to fraction form
    1,604,424/3,422,352 = 3,422,352/x
  3. Step 3: Cross multiply
    1,604,424x = 3,422,352 × 3,422,352
  4. Step 4: Simplify right side
    1,604,424x = 11,712,493,211,904
  5. Step 5: Solve for x
    x = 11,712,493,211,904/1,604,424
  6. Step 6: Final answer
    x = 7,300,123.42

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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.