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Finding the Third Proportional to 1,197,186 and 2,584,284

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Solution

The third proportional to 1,197,186 and 2,584,284 is: 5,578,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,186 : 2,584,284 = 2,584,284 : x
  2. Step 2: Convert to fraction form
    1,197,186/2,584,284 = 2,584,284/x
  3. Step 3: Cross multiply
    1,197,186x = 2,584,284 × 2,584,284
  4. Step 4: Simplify right side
    1,197,186x = 6,678,523,792,656
  5. Step 5: Solve for x
    x = 6,678,523,792,656/1,197,186
  6. Step 6: Final answer
    x = 5,578,518.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.