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Finding the Third Proportional to 2,702,766 and 5,875,968

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Solution

The third proportional to 2,702,766 and 5,875,968 is: 12,774,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702,766 : 5,875,968 = 5,875,968 : x
  2. Step 2: Convert to fraction form
    2,702,766/5,875,968 = 5,875,968/x
  3. Step 3: Cross multiply
    2,702,766x = 5,875,968 × 5,875,968
  4. Step 4: Simplify right side
    2,702,766x = 34,526,999,937,024
  5. Step 5: Solve for x
    x = 34,526,999,937,024/2,702,766
  6. Step 6: Final answer
    x = 12,774,690.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.