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Finding the Third Proportional to 1,056,827.50 and 2,355,699

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Solution

The third proportional to 1,056,827.50 and 2,355,699 is: 5,250,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,827.50 : 2,355,699 = 2,355,699 : x
  2. Step 2: Convert to fraction form
    1,056,827.50/2,355,699 = 2,355,699/x
  3. Step 3: Cross multiply
    1,056,827.50x = 2,355,699 × 2,355,699
  4. Step 4: Simplify right side
    1,056,827.50x = 5,549,317,778,601
  5. Step 5: Solve for x
    x = 5,549,317,778,601/1,056,827.50
  6. Step 6: Final answer
    x = 5,250,921.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.