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Finding the Third Proportional to 508,764 and 1,004,724

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Solution

The third proportional to 508,764 and 1,004,724 is: 1,984,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,764 : 1,004,724 = 1,004,724 : x
  2. Step 2: Convert to fraction form
    508,764/1,004,724 = 1,004,724/x
  3. Step 3: Cross multiply
    508,764x = 1,004,724 × 1,004,724
  4. Step 4: Simplify right side
    508,764x = 1,009,470,316,176
  5. Step 5: Solve for x
    x = 1,009,470,316,176/508,764
  6. Step 6: Final answer
    x = 1,984,162.24

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.