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Finding the Third Proportional to 1,085,824 and 2,364,416

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Solution

The third proportional to 1,085,824 and 2,364,416 is: 5,148,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,824 : 2,364,416 = 2,364,416 : x
  2. Step 2: Convert to fraction form
    1,085,824/2,364,416 = 2,364,416/x
  3. Step 3: Cross multiply
    1,085,824x = 2,364,416 × 2,364,416
  4. Step 4: Simplify right side
    1,085,824x = 5,590,463,021,056
  5. Step 5: Solve for x
    x = 5,590,463,021,056/1,085,824
  6. Step 6: Final answer
    x = 5,148,590.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.