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Finding the Third Proportional to 673,431 and 1,010,116

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Solution

The third proportional to 673,431 and 1,010,116 is: 1,515,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,431 : 1,010,116 = 1,010,116 : x
  2. Step 2: Convert to fraction form
    673,431/1,010,116 = 1,010,116/x
  3. Step 3: Cross multiply
    673,431x = 1,010,116 × 1,010,116
  4. Step 4: Simplify right side
    673,431x = 1,020,334,333,456
  5. Step 5: Solve for x
    x = 1,020,334,333,456/673,431
  6. Step 6: Final answer
    x = 1,515,128.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.