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Finding the Third Proportional to 930,176 and 2,009,024

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Solution

The third proportional to 930,176 and 2,009,024 is: 4,339,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,176 : 2,009,024 = 2,009,024 : x
  2. Step 2: Convert to fraction form
    930,176/2,009,024 = 2,009,024/x
  3. Step 3: Cross multiply
    930,176x = 2,009,024 × 2,009,024
  4. Step 4: Simplify right side
    930,176x = 4,036,177,432,576
  5. Step 5: Solve for x
    x = 4,036,177,432,576/930,176
  6. Step 6: Final answer
    x = 4,339,154.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.