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Finding the Third Proportional to 580,976 and 1,258,430

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Solution

The third proportional to 580,976 and 1,258,430 is: 2,725,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,976 : 1,258,430 = 1,258,430 : x
  2. Step 2: Convert to fraction form
    580,976/1,258,430 = 1,258,430/x
  3. Step 3: Cross multiply
    580,976x = 1,258,430 × 1,258,430
  4. Step 4: Simplify right side
    580,976x = 1,583,646,064,900
  5. Step 5: Solve for x
    x = 1,583,646,064,900/580,976
  6. Step 6: Final answer
    x = 2,725,837.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.