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Finding the Third Proportional to 1,261,851.75 and 1,907,833.50

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Solution

The third proportional to 1,261,851.75 and 1,907,833.50 is: 2,884,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,851.75 : 1,907,833.50 = 1,907,833.50 : x
  2. Step 2: Convert to fraction form
    1,261,851.75/1,907,833.50 = 1,907,833.50/x
  3. Step 3: Cross multiply
    1,261,851.75x = 1,907,833.50 × 1,907,833.50
  4. Step 4: Simplify right side
    1,261,851.75x = 3,639,828,663,722.25
  5. Step 5: Solve for x
    x = 3,639,828,663,722.25/1,261,851.75
  6. Step 6: Final answer
    x = 2,884,513.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.