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Finding the Third Proportional to 1,000,176 and 2,160,285

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Solution

The third proportional to 1,000,176 and 2,160,285 is: 4,666,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,176 : 2,160,285 = 2,160,285 : x
  2. Step 2: Convert to fraction form
    1,000,176/2,160,285 = 2,160,285/x
  3. Step 3: Cross multiply
    1,000,176x = 2,160,285 × 2,160,285
  4. Step 4: Simplify right side
    1,000,176x = 4,666,831,281,225
  5. Step 5: Solve for x
    x = 4,666,831,281,225/1,000,176
  6. Step 6: Final answer
    x = 4,666,010.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.