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Finding the Third Proportional to 1,580,046 and 3,501,743

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Solution

The third proportional to 1,580,046 and 3,501,743 is: 7,760,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,046 : 3,501,743 = 3,501,743 : x
  2. Step 2: Convert to fraction form
    1,580,046/3,501,743 = 3,501,743/x
  3. Step 3: Cross multiply
    1,580,046x = 3,501,743 × 3,501,743
  4. Step 4: Simplify right side
    1,580,046x = 12,262,204,038,049
  5. Step 5: Solve for x
    x = 12,262,204,038,049/1,580,046
  6. Step 6: Final answer
    x = 7,760,662.69

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.