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Finding the Third Proportional to 829,024 and 1,771,808

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Solution

The third proportional to 829,024 and 1,771,808 is: 3,786,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,024 : 1,771,808 = 1,771,808 : x
  2. Step 2: Convert to fraction form
    829,024/1,771,808 = 1,771,808/x
  3. Step 3: Cross multiply
    829,024x = 1,771,808 × 1,771,808
  4. Step 4: Simplify right side
    829,024x = 3,139,303,588,864
  5. Step 5: Solve for x
    x = 3,139,303,588,864/829,024
  6. Step 6: Final answer
    x = 3,786,746.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.