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Finding the Third Proportional to 473,592 and 1,014,576

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Solution

The third proportional to 473,592 and 1,014,576 is: 2,173,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,592 : 1,014,576 = 1,014,576 : x
  2. Step 2: Convert to fraction form
    473,592/1,014,576 = 1,014,576/x
  3. Step 3: Cross multiply
    473,592x = 1,014,576 × 1,014,576
  4. Step 4: Simplify right side
    473,592x = 1,029,364,459,776
  5. Step 5: Solve for x
    x = 1,029,364,459,776/473,592
  6. Step 6: Final answer
    x = 2,173,525.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.