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Finding the Third Proportional to 642,861 and 1,400,013

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Solution

The third proportional to 642,861 and 1,400,013 is: 3,048,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,861 : 1,400,013 = 1,400,013 : x
  2. Step 2: Convert to fraction form
    642,861/1,400,013 = 1,400,013/x
  3. Step 3: Cross multiply
    642,861x = 1,400,013 × 1,400,013
  4. Step 4: Simplify right side
    642,861x = 1,960,036,400,169
  5. Step 5: Solve for x
    x = 1,960,036,400,169/642,861
  6. Step 6: Final answer
    x = 3,048,927.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.