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Finding the Third Proportional to 553,076 and 1,181,968

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Solution

The third proportional to 553,076 and 1,181,968 is: 2,525,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,076 : 1,181,968 = 1,181,968 : x
  2. Step 2: Convert to fraction form
    553,076/1,181,968 = 1,181,968/x
  3. Step 3: Cross multiply
    553,076x = 1,181,968 × 1,181,968
  4. Step 4: Simplify right side
    553,076x = 1,397,048,353,024
  5. Step 5: Solve for x
    x = 1,397,048,353,024/553,076
  6. Step 6: Final answer
    x = 2,525,960.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.