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Finding the Third Proportional to 688,980 and 1,013,058

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Solution

The third proportional to 688,980 and 1,013,058 is: 1,489,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,980 : 1,013,058 = 1,013,058 : x
  2. Step 2: Convert to fraction form
    688,980/1,013,058 = 1,013,058/x
  3. Step 3: Cross multiply
    688,980x = 1,013,058 × 1,013,058
  4. Step 4: Simplify right side
    688,980x = 1,026,286,511,364
  5. Step 5: Solve for x
    x = 1,026,286,511,364/688,980
  6. Step 6: Final answer
    x = 1,489,573.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.