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Finding the Third Proportional to 523,152 and 1,129,968

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Solution

The third proportional to 523,152 and 1,129,968 is: 2,440,643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,152 : 1,129,968 = 1,129,968 : x
  2. Step 2: Convert to fraction form
    523,152/1,129,968 = 1,129,968/x
  3. Step 3: Cross multiply
    523,152x = 1,129,968 × 1,129,968
  4. Step 4: Simplify right side
    523,152x = 1,276,827,681,024
  5. Step 5: Solve for x
    x = 1,276,827,681,024/523,152
  6. Step 6: Final answer
    x = 2,440,643.79

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