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Finding the Third Proportional to 495,572 and 1,082,170

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Solution

The third proportional to 495,572 and 1,082,170 is: 2,363,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,572 : 1,082,170 = 1,082,170 : x
  2. Step 2: Convert to fraction form
    495,572/1,082,170 = 1,082,170/x
  3. Step 3: Cross multiply
    495,572x = 1,082,170 × 1,082,170
  4. Step 4: Simplify right side
    495,572x = 1,171,091,908,900
  5. Step 5: Solve for x
    x = 1,171,091,908,900/495,572
  6. Step 6: Final answer
    x = 2,363,111.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.