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Finding the Third Proportional to 472,802.06 and 1,023,926.06

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Solution

The third proportional to 472,802.06 and 1,023,926.06 is: 2,217,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,802.06 : 1,023,926.06 = 1,023,926.06 : x
  2. Step 2: Convert to fraction form
    472,802.06/1,023,926.06 = 1,023,926.06/x
  3. Step 3: Cross multiply
    472,802.06x = 1,023,926.06 × 1,023,926.06
  4. Step 4: Simplify right side
    472,802.06x = 1,048,424,581,466.75
  5. Step 5: Solve for x
    x = 1,048,424,581,466.75/472,802.06
  6. Step 6: Final answer
    x = 2,217,470.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.