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Finding the Third Proportional to 525,768 and 1,140,114

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Solution

The third proportional to 525,768 and 1,140,114 is: 2,472,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,768 : 1,140,114 = 1,140,114 : x
  2. Step 2: Convert to fraction form
    525,768/1,140,114 = 1,140,114/x
  3. Step 3: Cross multiply
    525,768x = 1,140,114 × 1,140,114
  4. Step 4: Simplify right side
    525,768x = 1,299,859,932,996
  5. Step 5: Solve for x
    x = 1,299,859,932,996/525,768
  6. Step 6: Final answer
    x = 2,472,307.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.