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Finding the Third Proportional to 1,058,584 and 2,063,712

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Solution

The third proportional to 1,058,584 and 2,063,712 is: 4,023,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,584 : 2,063,712 = 2,063,712 : x
  2. Step 2: Convert to fraction form
    1,058,584/2,063,712 = 2,063,712/x
  3. Step 3: Cross multiply
    1,058,584x = 2,063,712 × 2,063,712
  4. Step 4: Simplify right side
    1,058,584x = 4,258,907,218,944
  5. Step 5: Solve for x
    x = 4,258,907,218,944/1,058,584
  6. Step 6: Final answer
    x = 4,023,211.40

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.