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Finding the Third Proportional to 434,964 and 882,222

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Solution

The third proportional to 434,964 and 882,222 is: 1,789,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,964 : 882,222 = 882,222 : x
  2. Step 2: Convert to fraction form
    434,964/882,222 = 882,222/x
  3. Step 3: Cross multiply
    434,964x = 882,222 × 882,222
  4. Step 4: Simplify right side
    434,964x = 778,315,657,284
  5. Step 5: Solve for x
    x = 778,315,657,284/434,964
  6. Step 6: Final answer
    x = 1,789,379.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.