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Finding the Third Proportional to 1,033,494.19 and 1,551,274.03

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Solution

The third proportional to 1,033,494.19 and 1,551,274.03 is: 2,328,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,494.19 : 1,551,274.03 = 1,551,274.03 : x
  2. Step 2: Convert to fraction form
    1,033,494.19/1,551,274.03 = 1,551,274.03/x
  3. Step 3: Cross multiply
    1,033,494.19x = 1,551,274.03 × 1,551,274.03
  4. Step 4: Simplify right side
    1,033,494.19x = 2,406,451,120,030.63
  5. Step 5: Solve for x
    x = 2,406,451,120,030.63/1,033,494.19
  6. Step 6: Final answer
    x = 2,328,461.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.