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Finding the Third Proportional to 539,746 and 1,184,468

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Solution

The third proportional to 539,746 and 1,184,468 is: 2,599,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,746 : 1,184,468 = 1,184,468 : x
  2. Step 2: Convert to fraction form
    539,746/1,184,468 = 1,184,468/x
  3. Step 3: Cross multiply
    539,746x = 1,184,468 × 1,184,468
  4. Step 4: Simplify right side
    539,746x = 1,402,964,443,024
  5. Step 5: Solve for x
    x = 1,402,964,443,024/539,746
  6. Step 6: Final answer
    x = 2,599,304.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.