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Finding the Third Proportional to 458,042 and 976,964

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Solution

The third proportional to 458,042 and 976,964 is: 2,083,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,042 : 976,964 = 976,964 : x
  2. Step 2: Convert to fraction form
    458,042/976,964 = 976,964/x
  3. Step 3: Cross multiply
    458,042x = 976,964 × 976,964
  4. Step 4: Simplify right side
    458,042x = 954,458,657,296
  5. Step 5: Solve for x
    x = 954,458,657,296/458,042
  6. Step 6: Final answer
    x = 2,083,779.78

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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.