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Finding the Third Proportional to 493,624,734 and 722,266,393

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Solution

The third proportional to 493,624,734 and 722,266,393 is: 1,056,812,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,624,734 : 722,266,393 = 722,266,393 : x
  2. Step 2: Convert to fraction form
    493,624,734/722,266,393 = 722,266,393/x
  3. Step 3: Cross multiply
    493,624,734x = 722,266,393 × 722,266,393
  4. Step 4: Simplify right side
    493,624,734x = 521,668,742,457,230,464
  5. Step 5: Solve for x
    x = 521,668,742,457,230,464/493,624,734
  6. Step 6: Final answer
    x = 1,056,812,405.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.