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Finding the Third Proportional to 1,465,841 and 2,242,357

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Solution

The third proportional to 1,465,841 and 2,242,357 is: 3,430,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,841 : 2,242,357 = 2,242,357 : x
  2. Step 2: Convert to fraction form
    1,465,841/2,242,357 = 2,242,357/x
  3. Step 3: Cross multiply
    1,465,841x = 2,242,357 × 2,242,357
  4. Step 4: Simplify right side
    1,465,841x = 5,028,164,915,449
  5. Step 5: Solve for x
    x = 5,028,164,915,449/1,465,841
  6. Step 6: Final answer
    x = 3,430,225.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.