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Finding the Third Proportional to 768,636 and 1,133,082

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Solution

The third proportional to 768,636 and 1,133,082 is: 1,670,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,636 : 1,133,082 = 1,133,082 : x
  2. Step 2: Convert to fraction form
    768,636/1,133,082 = 1,133,082/x
  3. Step 3: Cross multiply
    768,636x = 1,133,082 × 1,133,082
  4. Step 4: Simplify right side
    768,636x = 1,283,874,818,724
  5. Step 5: Solve for x
    x = 1,283,874,818,724/768,636
  6. Step 6: Final answer
    x = 1,670,328.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.