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Finding the Third Proportional to 1,183,258.50 and 2,590,407

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Solution

The third proportional to 1,183,258.50 and 2,590,407 is: 5,670,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,258.50 : 2,590,407 = 2,590,407 : x
  2. Step 2: Convert to fraction form
    1,183,258.50/2,590,407 = 2,590,407/x
  3. Step 3: Cross multiply
    1,183,258.50x = 2,590,407 × 2,590,407
  4. Step 4: Simplify right side
    1,183,258.50x = 6,710,208,425,649
  5. Step 5: Solve for x
    x = 6,710,208,425,649/1,183,258.50
  6. Step 6: Final answer
    x = 5,670,957.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.