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Finding the Third Proportional to 461,856 and 1,028,640

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Solution

The third proportional to 461,856 and 1,028,640 is: 2,290,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,856 : 1,028,640 = 1,028,640 : x
  2. Step 2: Convert to fraction form
    461,856/1,028,640 = 1,028,640/x
  3. Step 3: Cross multiply
    461,856x = 1,028,640 × 1,028,640
  4. Step 4: Simplify right side
    461,856x = 1,058,100,249,600
  5. Step 5: Solve for x
    x = 1,058,100,249,600/461,856
  6. Step 6: Final answer
    x = 2,290,974.35

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.