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Finding the Third Proportional to 1,211,296.50 and 1,764,365.63

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Solution

The third proportional to 1,211,296.50 and 1,764,365.63 is: 2,569,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,296.50 : 1,764,365.63 = 1,764,365.63 : x
  2. Step 2: Convert to fraction form
    1,211,296.50/1,764,365.63 = 1,764,365.63/x
  3. Step 3: Cross multiply
    1,211,296.50x = 1,764,365.63 × 1,764,365.63
  4. Step 4: Simplify right side
    1,211,296.50x = 3,112,986,058,681.64
  5. Step 5: Solve for x
    x = 3,112,986,058,681.64/1,211,296.50
  6. Step 6: Final answer
    x = 2,569,962.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.