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Finding the Third Proportional to 458,020 and 976,916

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Solution

The third proportional to 458,020 and 976,916 is: 2,083,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,020 : 976,916 = 976,916 : x
  2. Step 2: Convert to fraction form
    458,020/976,916 = 976,916/x
  3. Step 3: Cross multiply
    458,020x = 976,916 × 976,916
  4. Step 4: Simplify right side
    458,020x = 954,364,871,056
  5. Step 5: Solve for x
    x = 954,364,871,056/458,020
  6. Step 6: Final answer
    x = 2,083,675.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.