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Finding the Third Proportional to 1,201,456 and 1,679,712

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Solution

The third proportional to 1,201,456 and 1,679,712 is: 2,348,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,456 : 1,679,712 = 1,679,712 : x
  2. Step 2: Convert to fraction form
    1,201,456/1,679,712 = 1,679,712/x
  3. Step 3: Cross multiply
    1,201,456x = 1,679,712 × 1,679,712
  4. Step 4: Simplify right side
    1,201,456x = 2,821,432,402,944
  5. Step 5: Solve for x
    x = 2,821,432,402,944/1,201,456
  6. Step 6: Final answer
    x = 2,348,344.34

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.