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Finding the Third Proportional to 680,510 and 1,058,440

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Solution

The third proportional to 680,510 and 1,058,440 is: 1,646,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,510 : 1,058,440 = 1,058,440 : x
  2. Step 2: Convert to fraction form
    680,510/1,058,440 = 1,058,440/x
  3. Step 3: Cross multiply
    680,510x = 1,058,440 × 1,058,440
  4. Step 4: Simplify right side
    680,510x = 1,120,295,233,600
  5. Step 5: Solve for x
    x = 1,120,295,233,600/680,510
  6. Step 6: Final answer
    x = 1,646,258.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.