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Finding the Third Proportional to 461,928 and 1,012,044

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Solution

The third proportional to 461,928 and 1,012,044 is: 2,217,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,928 : 1,012,044 = 1,012,044 : x
  2. Step 2: Convert to fraction form
    461,928/1,012,044 = 1,012,044/x
  3. Step 3: Cross multiply
    461,928x = 1,012,044 × 1,012,044
  4. Step 4: Simplify right side
    461,928x = 1,024,233,057,936
  5. Step 5: Solve for x
    x = 1,024,233,057,936/461,928
  6. Step 6: Final answer
    x = 2,217,300.22

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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.