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Finding the Third Proportional to 915,870 and 1,984,284

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Solution

The third proportional to 915,870 and 1,984,284 is: 4,299,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,870 : 1,984,284 = 1,984,284 : x
  2. Step 2: Convert to fraction form
    915,870/1,984,284 = 1,984,284/x
  3. Step 3: Cross multiply
    915,870x = 1,984,284 × 1,984,284
  4. Step 4: Simplify right side
    915,870x = 3,937,382,992,656
  5. Step 5: Solve for x
    x = 3,937,382,992,656/915,870
  6. Step 6: Final answer
    x = 4,299,063.18

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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.