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Finding the Third Proportional to 1,021,032 and 1,461,456

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Solution

The third proportional to 1,021,032 and 1,461,456 is: 2,091,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,032 : 1,461,456 = 1,461,456 : x
  2. Step 2: Convert to fraction form
    1,021,032/1,461,456 = 1,461,456/x
  3. Step 3: Cross multiply
    1,021,032x = 1,461,456 × 1,461,456
  4. Step 4: Simplify right side
    1,021,032x = 2,135,853,639,936
  5. Step 5: Solve for x
    x = 2,135,853,639,936/1,021,032
  6. Step 6: Final answer
    x = 2,091,857.69

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.