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Finding the Third Proportional to 688,695 and 1,460,758

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Solution

The third proportional to 688,695 and 1,460,758 is: 3,098,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,695 : 1,460,758 = 1,460,758 : x
  2. Step 2: Convert to fraction form
    688,695/1,460,758 = 1,460,758/x
  3. Step 3: Cross multiply
    688,695x = 1,460,758 × 1,460,758
  4. Step 4: Simplify right side
    688,695x = 2,133,813,934,564
  5. Step 5: Solve for x
    x = 2,133,813,934,564/688,695
  6. Step 6: Final answer
    x = 3,098,343.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.