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Finding the Third Proportional to 1,402,914.94 and 2,054,405.53

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Solution

The third proportional to 1,402,914.94 and 2,054,405.53 is: 3,008,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,914.94 : 2,054,405.53 = 2,054,405.53 : x
  2. Step 2: Convert to fraction form
    1,402,914.94/2,054,405.53 = 2,054,405.53/x
  3. Step 3: Cross multiply
    1,402,914.94x = 2,054,405.53 × 2,054,405.53
  4. Step 4: Simplify right side
    1,402,914.94x = 4,220,582,086,830.60
  5. Step 5: Solve for x
    x = 4,220,582,086,830.60/1,402,914.94
  6. Step 6: Final answer
    x = 3,008,437.63

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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.