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Finding the Third Proportional to 461,128 and 1,009,736

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Solution

The third proportional to 461,128 and 1,009,736 is: 2,211,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,128 : 1,009,736 = 1,009,736 : x
  2. Step 2: Convert to fraction form
    461,128/1,009,736 = 1,009,736/x
  3. Step 3: Cross multiply
    461,128x = 1,009,736 × 1,009,736
  4. Step 4: Simplify right side
    461,128x = 1,019,566,789,696
  5. Step 5: Solve for x
    x = 1,019,566,789,696/461,128
  6. Step 6: Final answer
    x = 2,211,027.72

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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.