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Finding the Third Proportional to 684,070.31 and 1,583,671.50

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Solution

The third proportional to 684,070.31 and 1,583,671.50 is: 3,666,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,070.31 : 1,583,671.50 = 1,583,671.50 : x
  2. Step 2: Convert to fraction form
    684,070.31/1,583,671.50 = 1,583,671.50/x
  3. Step 3: Cross multiply
    684,070.31x = 1,583,671.50 × 1,583,671.50
  4. Step 4: Simplify right side
    684,070.31x = 2,508,015,419,912.25
  5. Step 5: Solve for x
    x = 2,508,015,419,912.25/684,070.31
  6. Step 6: Final answer
    x = 3,666,312.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.