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Finding the Third Proportional to 410,741 and 882,596

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Solution

The third proportional to 410,741 and 882,596 is: 1,896,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,741 : 882,596 = 882,596 : x
  2. Step 2: Convert to fraction form
    410,741/882,596 = 882,596/x
  3. Step 3: Cross multiply
    410,741x = 882,596 × 882,596
  4. Step 4: Simplify right side
    410,741x = 778,975,699,216
  5. Step 5: Solve for x
    x = 778,975,699,216/410,741
  6. Step 6: Final answer
    x = 1,896,513.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.