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Finding the Third Proportional to 824,777.44 and 1,724,925.38

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Solution

The third proportional to 824,777.44 and 1,724,925.38 is: 3,607,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,777.44 : 1,724,925.38 = 1,724,925.38 : x
  2. Step 2: Convert to fraction form
    824,777.44/1,724,925.38 = 1,724,925.38/x
  3. Step 3: Cross multiply
    824,777.44x = 1,724,925.38 × 1,724,925.38
  4. Step 4: Simplify right side
    824,777.44x = 2,975,367,549,318.89
  5. Step 5: Solve for x
    x = 2,975,367,549,318.89/824,777.44
  6. Step 6: Final answer
    x = 3,607,479.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.