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Finding the Third Proportional to 1,340,560 and 2,921,968

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Solution

The third proportional to 1,340,560 and 2,921,968 is: 6,368,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,560 : 2,921,968 = 2,921,968 : x
  2. Step 2: Convert to fraction form
    1,340,560/2,921,968 = 2,921,968/x
  3. Step 3: Cross multiply
    1,340,560x = 2,921,968 × 2,921,968
  4. Step 4: Simplify right side
    1,340,560x = 8,537,896,993,024
  5. Step 5: Solve for x
    x = 8,537,896,993,024/1,340,560
  6. Step 6: Final answer
    x = 6,368,903.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.