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Finding the Third Proportional to 2,887,680 and 4,233,024

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Solution

The third proportional to 2,887,680 and 4,233,024 is: 6,205,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887,680 : 4,233,024 = 4,233,024 : x
  2. Step 2: Convert to fraction form
    2,887,680/4,233,024 = 4,233,024/x
  3. Step 3: Cross multiply
    2,887,680x = 4,233,024 × 4,233,024
  4. Step 4: Simplify right side
    2,887,680x = 17,918,492,184,576
  5. Step 5: Solve for x
    x = 17,918,492,184,576/2,887,680
  6. Step 6: Final answer
    x = 6,205,151.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.