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Finding the Third Proportional to 749,952 and 1,649,970

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Solution

The third proportional to 749,952 and 1,649,970 is: 3,630,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,952 : 1,649,970 = 1,649,970 : x
  2. Step 2: Convert to fraction form
    749,952/1,649,970 = 1,649,970/x
  3. Step 3: Cross multiply
    749,952x = 1,649,970 × 1,649,970
  4. Step 4: Simplify right side
    749,952x = 2,722,401,000,900
  5. Step 5: Solve for x
    x = 2,722,401,000,900/749,952
  6. Step 6: Final answer
    x = 3,630,100.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.