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Finding the Third Proportional to 1,362,811.50 and 1,985,062.50

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Solution

The third proportional to 1,362,811.50 and 1,985,062.50 is: 2,891,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,811.50 : 1,985,062.50 = 1,985,062.50 : x
  2. Step 2: Convert to fraction form
    1,362,811.50/1,985,062.50 = 1,985,062.50/x
  3. Step 3: Cross multiply
    1,362,811.50x = 1,985,062.50 × 1,985,062.50
  4. Step 4: Simplify right side
    1,362,811.50x = 3,940,473,128,906.25
  5. Step 5: Solve for x
    x = 3,940,473,128,906.25/1,362,811.50
  6. Step 6: Final answer
    x = 2,891,429.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.