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Finding the Third Proportional to 458,082 and 977,040

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Solution

The third proportional to 458,082 and 977,040 is: 2,083,922.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,082 : 977,040 = 977,040 : x
  2. Step 2: Convert to fraction form
    458,082/977,040 = 977,040/x
  3. Step 3: Cross multiply
    458,082x = 977,040 × 977,040
  4. Step 4: Simplify right side
    458,082x = 954,607,161,600
  5. Step 5: Solve for x
    x = 954,607,161,600/458,082
  6. Step 6: Final answer
    x = 2,083,922.01

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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.