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Finding the Third Proportional to 545,865 and 1,184,970

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Solution

The third proportional to 545,865 and 1,184,970 is: 2,572,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,865 : 1,184,970 = 1,184,970 : x
  2. Step 2: Convert to fraction form
    545,865/1,184,970 = 1,184,970/x
  3. Step 3: Cross multiply
    545,865x = 1,184,970 × 1,184,970
  4. Step 4: Simplify right side
    545,865x = 1,404,153,900,900
  5. Step 5: Solve for x
    x = 1,404,153,900,900/545,865
  6. Step 6: Final answer
    x = 2,572,346.46

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