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Finding the Third Proportional to 774,254 and 1,670,968

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Solution

The third proportional to 774,254 and 1,670,968 is: 3,606,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,254 : 1,670,968 = 1,670,968 : x
  2. Step 2: Convert to fraction form
    774,254/1,670,968 = 1,670,968/x
  3. Step 3: Cross multiply
    774,254x = 1,670,968 × 1,670,968
  4. Step 4: Simplify right side
    774,254x = 2,792,134,057,024
  5. Step 5: Solve for x
    x = 2,792,134,057,024/774,254
  6. Step 6: Final answer
    x = 3,606,224.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.