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Finding the Third Proportional to 473,176 and 1,025,120

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Solution

The third proportional to 473,176 and 1,025,120 is: 2,220,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,176 : 1,025,120 = 1,025,120 : x
  2. Step 2: Convert to fraction form
    473,176/1,025,120 = 1,025,120/x
  3. Step 3: Cross multiply
    473,176x = 1,025,120 × 1,025,120
  4. Step 4: Simplify right side
    473,176x = 1,050,871,014,400
  5. Step 5: Solve for x
    x = 1,050,871,014,400/473,176
  6. Step 6: Final answer
    x = 2,220,888.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.