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Finding the Third Proportional to 1,762,076 and 2,803,824

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Solution

The third proportional to 1,762,076 and 2,803,824 is: 4,461,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,076 : 2,803,824 = 2,803,824 : x
  2. Step 2: Convert to fraction form
    1,762,076/2,803,824 = 2,803,824/x
  3. Step 3: Cross multiply
    1,762,076x = 2,803,824 × 2,803,824
  4. Step 4: Simplify right side
    1,762,076x = 7,861,429,022,976
  5. Step 5: Solve for x
    x = 7,861,429,022,976/1,762,076
  6. Step 6: Final answer
    x = 4,461,458.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.