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Finding the Third Proportional to 1,164,840 and 2,545,200

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Solution

The third proportional to 1,164,840 and 2,545,200 is: 5,561,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,840 : 2,545,200 = 2,545,200 : x
  2. Step 2: Convert to fraction form
    1,164,840/2,545,200 = 2,545,200/x
  3. Step 3: Cross multiply
    1,164,840x = 2,545,200 × 2,545,200
  4. Step 4: Simplify right side
    1,164,840x = 6,478,043,040,000
  5. Step 5: Solve for x
    x = 6,478,043,040,000/1,164,840
  6. Step 6: Final answer
    x = 5,561,315.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.