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Finding the Third Proportional to 469,588.50 and 1,027,737

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Solution

The third proportional to 469,588.50 and 1,027,737 is: 2,249,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,588.50 : 1,027,737 = 1,027,737 : x
  2. Step 2: Convert to fraction form
    469,588.50/1,027,737 = 1,027,737/x
  3. Step 3: Cross multiply
    469,588.50x = 1,027,737 × 1,027,737
  4. Step 4: Simplify right side
    469,588.50x = 1,056,243,341,169
  5. Step 5: Solve for x
    x = 1,056,243,341,169/469,588.50
  6. Step 6: Final answer
    x = 2,249,295.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.