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Finding the Third Proportional to 1,635,780 and 3,574,824

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Solution

The third proportional to 1,635,780 and 3,574,824 is: 7,812,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,780 : 3,574,824 = 3,574,824 : x
  2. Step 2: Convert to fraction form
    1,635,780/3,574,824 = 3,574,824/x
  3. Step 3: Cross multiply
    1,635,780x = 3,574,824 × 3,574,824
  4. Step 4: Simplify right side
    1,635,780x = 12,779,366,630,976
  5. Step 5: Solve for x
    x = 12,779,366,630,976/1,635,780
  6. Step 6: Final answer
    x = 7,812,399.36

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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.