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Finding the Third Proportional to 810,827.44 and 1,140,532.03

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Solution

The third proportional to 810,827.44 and 1,140,532.03 is: 1,604,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,827.44 : 1,140,532.03 = 1,140,532.03 : x
  2. Step 2: Convert to fraction form
    810,827.44/1,140,532.03 = 1,140,532.03/x
  3. Step 3: Cross multiply
    810,827.44x = 1,140,532.03 × 1,140,532.03
  4. Step 4: Simplify right side
    810,827.44x = 1,300,813,314,307.25
  5. Step 5: Solve for x
    x = 1,300,813,314,307.25/810,827.44
  6. Step 6: Final answer
    x = 1,604,303.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.