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Finding the Third Proportional to 624,852 and 1,294,011

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Solution

The third proportional to 624,852 and 1,294,011 is: 2,679,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,852 : 1,294,011 = 1,294,011 : x
  2. Step 2: Convert to fraction form
    624,852/1,294,011 = 1,294,011/x
  3. Step 3: Cross multiply
    624,852x = 1,294,011 × 1,294,011
  4. Step 4: Simplify right side
    624,852x = 1,674,464,468,121
  5. Step 5: Solve for x
    x = 1,674,464,468,121/624,852
  6. Step 6: Final answer
    x = 2,679,777.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.