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Finding the Third Proportional to 1,984,200 and 4,306,656

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Solution

The third proportional to 1,984,200 and 4,306,656 is: 9,347,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,200 : 4,306,656 = 4,306,656 : x
  2. Step 2: Convert to fraction form
    1,984,200/4,306,656 = 4,306,656/x
  3. Step 3: Cross multiply
    1,984,200x = 4,306,656 × 4,306,656
  4. Step 4: Simplify right side
    1,984,200x = 18,547,285,902,336
  5. Step 5: Solve for x
    x = 18,547,285,902,336/1,984,200
  6. Step 6: Final answer
    x = 9,347,488.11

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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.