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Finding the Third Proportional to 456,718.50 and 976,789.13

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Solution

The third proportional to 456,718.50 and 976,789.13 is: 2,089,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,718.50 : 976,789.13 = 976,789.13 : x
  2. Step 2: Convert to fraction form
    456,718.50/976,789.13 = 976,789.13/x
  3. Step 3: Cross multiply
    456,718.50x = 976,789.13 × 976,789.13
  4. Step 4: Simplify right side
    456,718.50x = 954,116,994,718.27
  5. Step 5: Solve for x
    x = 954,116,994,718.27/456,718.50
  6. Step 6: Final answer
    x = 2,089,070.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.