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Finding the Third Proportional to 1,329,664 and 2,862,080

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Solution

The third proportional to 1,329,664 and 2,862,080 is: 6,160,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,664 : 2,862,080 = 2,862,080 : x
  2. Step 2: Convert to fraction form
    1,329,664/2,862,080 = 2,862,080/x
  3. Step 3: Cross multiply
    1,329,664x = 2,862,080 × 2,862,080
  4. Step 4: Simplify right side
    1,329,664x = 8,191,501,926,400
  5. Step 5: Solve for x
    x = 8,191,501,926,400/1,329,664
  6. Step 6: Final answer
    x = 6,160,580.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.