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Finding the Third Proportional to 508,757 and 1,004,710

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Solution

The third proportional to 508,757 and 1,004,710 is: 1,984,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,757 : 1,004,710 = 1,004,710 : x
  2. Step 2: Convert to fraction form
    508,757/1,004,710 = 1,004,710/x
  3. Step 3: Cross multiply
    508,757x = 1,004,710 × 1,004,710
  4. Step 4: Simplify right side
    508,757x = 1,009,442,184,100
  5. Step 5: Solve for x
    x = 1,009,442,184,100/508,757
  6. Step 6: Final answer
    x = 1,984,134.24

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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.