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Finding the Third Proportional to 1,047,094.59 and 1,601,089.03

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Solution

The third proportional to 1,047,094.59 and 1,601,089.03 is: 2,448,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,094.59 : 1,601,089.03 = 1,601,089.03 : x
  2. Step 2: Convert to fraction form
    1,047,094.59/1,601,089.03 = 1,601,089.03/x
  3. Step 3: Cross multiply
    1,047,094.59x = 1,601,089.03 × 1,601,089.03
  4. Step 4: Simplify right side
    1,047,094.59x = 2,563,486,085,989.06
  5. Step 5: Solve for x
    x = 2,563,486,085,989.06/1,047,094.59
  6. Step 6: Final answer
    x = 2,448,189.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.