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Finding the Third Proportional to 692,356 and 1,048,082

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Solution

The third proportional to 692,356 and 1,048,082 is: 1,586,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,356 : 1,048,082 = 1,048,082 : x
  2. Step 2: Convert to fraction form
    692,356/1,048,082 = 1,048,082/x
  3. Step 3: Cross multiply
    692,356x = 1,048,082 × 1,048,082
  4. Step 4: Simplify right side
    692,356x = 1,098,475,878,724
  5. Step 5: Solve for x
    x = 1,098,475,878,724/692,356
  6. Step 6: Final answer
    x = 1,586,576.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.