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Finding the Third Proportional to 458,402 and 1,083,869

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Solution

The third proportional to 458,402 and 1,083,869 is: 2,562,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,402 : 1,083,869 = 1,083,869 : x
  2. Step 2: Convert to fraction form
    458,402/1,083,869 = 1,083,869/x
  3. Step 3: Cross multiply
    458,402x = 1,083,869 × 1,083,869
  4. Step 4: Simplify right side
    458,402x = 1,174,772,009,161
  5. Step 5: Solve for x
    x = 1,174,772,009,161/458,402
  6. Step 6: Final answer
    x = 2,562,754.98

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.