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Finding the Third Proportional to 857,702.25 and 1,864,803.94

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Solution

The third proportional to 857,702.25 and 1,864,803.94 is: 4,054,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,702.25 : 1,864,803.94 = 1,864,803.94 : x
  2. Step 2: Convert to fraction form
    857,702.25/1,864,803.94 = 1,864,803.94/x
  3. Step 3: Cross multiply
    857,702.25x = 1,864,803.94 × 1,864,803.94
  4. Step 4: Simplify right side
    857,702.25x = 3,477,493,725,315.50
  5. Step 5: Solve for x
    x = 3,477,493,725,315.50/857,702.25
  6. Step 6: Final answer
    x = 4,054,429.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.