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Finding the Third Proportional to 676,058 and 1,011,980

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Solution

The third proportional to 676,058 and 1,011,980 is: 1,514,816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,058 : 1,011,980 = 1,011,980 : x
  2. Step 2: Convert to fraction form
    676,058/1,011,980 = 1,011,980/x
  3. Step 3: Cross multiply
    676,058x = 1,011,980 × 1,011,980
  4. Step 4: Simplify right side
    676,058x = 1,024,103,520,400
  5. Step 5: Solve for x
    x = 1,024,103,520,400/676,058
  6. Step 6: Final answer
    x = 1,514,816.07

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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.