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Finding the Third Proportional to 1,919,547 and 4,200,678

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Solution

The third proportional to 1,919,547 and 4,200,678 is: 9,192,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,547 : 4,200,678 = 4,200,678 : x
  2. Step 2: Convert to fraction form
    1,919,547/4,200,678 = 4,200,678/x
  3. Step 3: Cross multiply
    1,919,547x = 4,200,678 × 4,200,678
  4. Step 4: Simplify right side
    1,919,547x = 17,645,695,659,684
  5. Step 5: Solve for x
    x = 17,645,695,659,684/1,919,547
  6. Step 6: Final answer
    x = 9,192,635.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.