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Finding the Third Proportional to 460,053 and 938,884.50

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Solution

The third proportional to 460,053 and 938,884.50 is: 1,916,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,053 : 938,884.50 = 938,884.50 : x
  2. Step 2: Convert to fraction form
    460,053/938,884.50 = 938,884.50/x
  3. Step 3: Cross multiply
    460,053x = 938,884.50 × 938,884.50
  4. Step 4: Simplify right side
    460,053x = 881,504,104,340.25
  5. Step 5: Solve for x
    x = 881,504,104,340.25/460,053
  6. Step 6: Final answer
    x = 1,916,092.50

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.