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Finding the Third Proportional to 456,300 and 1,017,576

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Solution

The third proportional to 456,300 and 1,017,576 is: 2,269,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,300 : 1,017,576 = 1,017,576 : x
  2. Step 2: Convert to fraction form
    456,300/1,017,576 = 1,017,576/x
  3. Step 3: Cross multiply
    456,300x = 1,017,576 × 1,017,576
  4. Step 4: Simplify right side
    456,300x = 1,035,460,915,776
  5. Step 5: Solve for x
    x = 1,035,460,915,776/456,300
  6. Step 6: Final answer
    x = 2,269,254.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.