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Finding the Third Proportional to 526,356 and 1,157,664

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Solution

The third proportional to 526,356 and 1,157,664 is: 2,546,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,356 : 1,157,664 = 1,157,664 : x
  2. Step 2: Convert to fraction form
    526,356/1,157,664 = 1,157,664/x
  3. Step 3: Cross multiply
    526,356x = 1,157,664 × 1,157,664
  4. Step 4: Simplify right side
    526,356x = 1,340,185,936,896
  5. Step 5: Solve for x
    x = 1,340,185,936,896/526,356
  6. Step 6: Final answer
    x = 2,546,158.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.