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Finding the Third Proportional to 605,313,000 and 1,303,462,404

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Solution

The third proportional to 605,313,000 and 1,303,462,404 is: 2,806,835,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,313,000 : 1,303,462,404 = 1,303,462,404 : x
  2. Step 2: Convert to fraction form
    605,313,000/1,303,462,404 = 1,303,462,404/x
  3. Step 3: Cross multiply
    605,313,000x = 1,303,462,404 × 1,303,462,404
  4. Step 4: Simplify right side
    605,313,000x = 1,699,014,238,641,459,200
  5. Step 5: Solve for x
    x = 1,699,014,238,641,459,200/605,313,000
  6. Step 6: Final answer
    x = 2,806,835,866.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.