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Finding the Third Proportional to 682,984 and 1,055,276

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Solution

The third proportional to 682,984 and 1,055,276 is: 1,630,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,984 : 1,055,276 = 1,055,276 : x
  2. Step 2: Convert to fraction form
    682,984/1,055,276 = 1,055,276/x
  3. Step 3: Cross multiply
    682,984x = 1,055,276 × 1,055,276
  4. Step 4: Simplify right side
    682,984x = 1,113,607,436,176
  5. Step 5: Solve for x
    x = 1,113,607,436,176/682,984
  6. Step 6: Final answer
    x = 1,630,502.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.