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Finding the Third Proportional to 458,125.24 and 977,093.51

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Solution

The third proportional to 458,125.24 and 977,093.51 is: 2,083,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,125.24 : 977,093.51 = 977,093.51 : x
  2. Step 2: Convert to fraction form
    458,125.24/977,093.51 = 977,093.51/x
  3. Step 3: Cross multiply
    458,125.24x = 977,093.51 × 977,093.51
  4. Step 4: Simplify right side
    458,125.24x = 954,711,723,009.34
  5. Step 5: Solve for x
    x = 954,711,723,009.34/458,125.24
  6. Step 6: Final answer
    x = 2,083,953.55

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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.