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Finding the Third Proportional to 545,874.19 and 1,184,518.69

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Solution

The third proportional to 545,874.19 and 1,184,518.69 is: 2,570,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,874.19 : 1,184,518.69 = 1,184,518.69 : x
  2. Step 2: Convert to fraction form
    545,874.19/1,184,518.69 = 1,184,518.69/x
  3. Step 3: Cross multiply
    545,874.19x = 1,184,518.69 × 1,184,518.69
  4. Step 4: Simplify right side
    545,874.19x = 1,403,084,521,036.72
  5. Step 5: Solve for x
    x = 1,403,084,521,036.72/545,874.19
  6. Step 6: Final answer
    x = 2,570,344.14

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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.