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Finding the Third Proportional to 857,683.50 and 1,257,878.25

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Solution

The third proportional to 857,683.50 and 1,257,878.25 is: 1,844,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,683.50 : 1,257,878.25 = 1,257,878.25 : x
  2. Step 2: Convert to fraction form
    857,683.50/1,257,878.25 = 1,257,878.25/x
  3. Step 3: Cross multiply
    857,683.50x = 1,257,878.25 × 1,257,878.25
  4. Step 4: Simplify right side
    857,683.50x = 1,582,257,691,823.06
  5. Step 5: Solve for x
    x = 1,582,257,691,823.06/857,683.50
  6. Step 6: Final answer
    x = 1,844,803.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.