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Finding the Third Proportional to 1,047,983.06 and 2,140,047.84

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Solution

The third proportional to 1,047,983.06 and 2,140,047.84 is: 4,370,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,983.06 : 2,140,047.84 = 2,140,047.84 : x
  2. Step 2: Convert to fraction form
    1,047,983.06/2,140,047.84 = 2,140,047.84/x
  3. Step 3: Cross multiply
    1,047,983.06x = 2,140,047.84 × 2,140,047.84
  4. Step 4: Simplify right side
    1,047,983.06x = 4,579,804,773,539.02
  5. Step 5: Solve for x
    x = 4,579,804,773,539.02/1,047,983.06
  6. Step 6: Final answer
    x = 4,370,113.35

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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.