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Finding the Third Proportional to 423,795 and 1,000,221

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Solution

The third proportional to 423,795 and 1,000,221 is: 2,360,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,795 : 1,000,221 = 1,000,221 : x
  2. Step 2: Convert to fraction form
    423,795/1,000,221 = 1,000,221/x
  3. Step 3: Cross multiply
    423,795x = 1,000,221 × 1,000,221
  4. Step 4: Simplify right side
    423,795x = 1,000,442,048,841
  5. Step 5: Solve for x
    x = 1,000,442,048,841/423,795
  6. Step 6: Final answer
    x = 2,360,674.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.