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Finding the Third Proportional to 965,196 and 2,119,446

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Solution

The third proportional to 965,196 and 2,119,446 is: 4,654,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,196 : 2,119,446 = 2,119,446 : x
  2. Step 2: Convert to fraction form
    965,196/2,119,446 = 2,119,446/x
  3. Step 3: Cross multiply
    965,196x = 2,119,446 × 2,119,446
  4. Step 4: Simplify right side
    965,196x = 4,492,051,346,916
  5. Step 5: Solve for x
    x = 4,492,051,346,916/965,196
  6. Step 6: Final answer
    x = 4,654,030.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.