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Finding the Third Proportional to 688,722.75 and 1,460,808

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Solution

The third proportional to 688,722.75 and 1,460,808 is: 3,098,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,722.75 : 1,460,808 = 1,460,808 : x
  2. Step 2: Convert to fraction form
    688,722.75/1,460,808 = 1,460,808/x
  3. Step 3: Cross multiply
    688,722.75x = 1,460,808 × 1,460,808
  4. Step 4: Simplify right side
    688,722.75x = 2,133,960,012,864
  5. Step 5: Solve for x
    x = 2,133,960,012,864/688,722.75
  6. Step 6: Final answer
    x = 3,098,431.14

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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.