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Finding the Third Proportional to 812,316 and 1,760,088

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Solution

The third proportional to 812,316 and 1,760,088 is: 3,813,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,316 : 1,760,088 = 1,760,088 : x
  2. Step 2: Convert to fraction form
    812,316/1,760,088 = 1,760,088/x
  3. Step 3: Cross multiply
    812,316x = 1,760,088 × 1,760,088
  4. Step 4: Simplify right side
    812,316x = 3,097,909,767,744
  5. Step 5: Solve for x
    x = 3,097,909,767,744/812,316
  6. Step 6: Final answer
    x = 3,813,675.67

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Why These Related Problems?

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