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Finding the Third Proportional to 761,852 and 1,624,954

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Solution

The third proportional to 761,852 and 1,624,954 is: 3,465,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,852 : 1,624,954 = 1,624,954 : x
  2. Step 2: Convert to fraction form
    761,852/1,624,954 = 1,624,954/x
  3. Step 3: Cross multiply
    761,852x = 1,624,954 × 1,624,954
  4. Step 4: Simplify right side
    761,852x = 2,640,475,502,116
  5. Step 5: Solve for x
    x = 2,640,475,502,116/761,852
  6. Step 6: Final answer
    x = 3,465,864.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.