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Finding the Third Proportional to 528,114 and 1,140,400

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Solution

The third proportional to 528,114 and 1,140,400 is: 2,462,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,114 : 1,140,400 = 1,140,400 : x
  2. Step 2: Convert to fraction form
    528,114/1,140,400 = 1,140,400/x
  3. Step 3: Cross multiply
    528,114x = 1,140,400 × 1,140,400
  4. Step 4: Simplify right side
    528,114x = 1,300,512,160,000
  5. Step 5: Solve for x
    x = 1,300,512,160,000/528,114
  6. Step 6: Final answer
    x = 2,462,559.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.