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Finding the Third Proportional to 525,616 and 1,152,964

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Solution

The third proportional to 525,616 and 1,152,964 is: 2,529,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,616 : 1,152,964 = 1,152,964 : x
  2. Step 2: Convert to fraction form
    525,616/1,152,964 = 1,152,964/x
  3. Step 3: Cross multiply
    525,616x = 1,152,964 × 1,152,964
  4. Step 4: Simplify right side
    525,616x = 1,329,325,985,296
  5. Step 5: Solve for x
    x = 1,329,325,985,296/525,616
  6. Step 6: Final answer
    x = 2,529,082.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.