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Finding the Third Proportional to 750,978 and 1,564,083

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Solution

The third proportional to 750,978 and 1,564,083 is: 3,257,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,978 : 1,564,083 = 1,564,083 : x
  2. Step 2: Convert to fraction form
    750,978/1,564,083 = 1,564,083/x
  3. Step 3: Cross multiply
    750,978x = 1,564,083 × 1,564,083
  4. Step 4: Simplify right side
    750,978x = 2,446,355,630,889
  5. Step 5: Solve for x
    x = 2,446,355,630,889/750,978
  6. Step 6: Final answer
    x = 3,257,559.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.