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Finding the Third Proportional to 545,846 and 1,184,468

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Solution

The third proportional to 545,846 and 1,184,468 is: 2,570,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,846 : 1,184,468 = 1,184,468 : x
  2. Step 2: Convert to fraction form
    545,846/1,184,468 = 1,184,468/x
  3. Step 3: Cross multiply
    545,846x = 1,184,468 × 1,184,468
  4. Step 4: Simplify right side
    545,846x = 1,402,964,443,024
  5. Step 5: Solve for x
    x = 1,402,964,443,024/545,846
  6. Step 6: Final answer
    x = 2,570,256.89

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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.