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Finding the Third Proportional to 564,128 and 1,174,914

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Solution

The third proportional to 564,128 and 1,174,914 is: 2,447,003.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,128 : 1,174,914 = 1,174,914 : x
  2. Step 2: Convert to fraction form
    564,128/1,174,914 = 1,174,914/x
  3. Step 3: Cross multiply
    564,128x = 1,174,914 × 1,174,914
  4. Step 4: Simplify right side
    564,128x = 1,380,422,907,396
  5. Step 5: Solve for x
    x = 1,380,422,907,396/564,128
  6. Step 6: Final answer
    x = 2,447,003.00

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.