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Finding the Third Proportional to 846,896.63 and 1,207,211.63

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Solution

The third proportional to 846,896.63 and 1,207,211.63 is: 1,720,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,896.63 : 1,207,211.63 = 1,207,211.63 : x
  2. Step 2: Convert to fraction form
    846,896.63/1,207,211.63 = 1,207,211.63/x
  3. Step 3: Cross multiply
    846,896.63x = 1,207,211.63 × 1,207,211.63
  4. Step 4: Simplify right side
    846,896.63x = 1,457,359,907,535.14
  5. Step 5: Solve for x
    x = 1,457,359,907,535.14/846,896.63
  6. Step 6: Final answer
    x = 1,720,823.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.