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Finding the Third Proportional to 470,196 and 1,000,296

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Solution

The third proportional to 470,196 and 1,000,296 is: 2,128,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,196 : 1,000,296 = 1,000,296 : x
  2. Step 2: Convert to fraction form
    470,196/1,000,296 = 1,000,296/x
  3. Step 3: Cross multiply
    470,196x = 1,000,296 × 1,000,296
  4. Step 4: Simplify right side
    470,196x = 1,000,592,087,616
  5. Step 5: Solve for x
    x = 1,000,592,087,616/470,196
  6. Step 6: Final answer
    x = 2,128,031.90

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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.