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Finding the Third Proportional to 829,258 and 1,808,590

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Solution

The third proportional to 829,258 and 1,808,590 is: 3,944,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,258 : 1,808,590 = 1,808,590 : x
  2. Step 2: Convert to fraction form
    829,258/1,808,590 = 1,808,590/x
  3. Step 3: Cross multiply
    829,258x = 1,808,590 × 1,808,590
  4. Step 4: Simplify right side
    829,258x = 3,270,997,788,100
  5. Step 5: Solve for x
    x = 3,270,997,788,100/829,258
  6. Step 6: Final answer
    x = 3,944,487.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.