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Finding the Third Proportional to 1,575,341 and 3,455,647

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Solution

The third proportional to 1,575,341 and 3,455,647 is: 7,580,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,341 : 3,455,647 = 3,455,647 : x
  2. Step 2: Convert to fraction form
    1,575,341/3,455,647 = 3,455,647/x
  3. Step 3: Cross multiply
    1,575,341x = 3,455,647 × 3,455,647
  4. Step 4: Simplify right side
    1,575,341x = 11,941,496,188,609
  5. Step 5: Solve for x
    x = 11,941,496,188,609/1,575,341
  6. Step 6: Final answer
    x = 7,580,261.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.