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Finding the Third Proportional to 410,746 and 882,604

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Solution

The third proportional to 410,746 and 882,604 is: 1,896,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,746 : 882,604 = 882,604 : x
  2. Step 2: Convert to fraction form
    410,746/882,604 = 882,604/x
  3. Step 3: Cross multiply
    410,746x = 882,604 × 882,604
  4. Step 4: Simplify right side
    410,746x = 778,989,820,816
  5. Step 5: Solve for x
    x = 778,989,820,816/410,746
  6. Step 6: Final answer
    x = 1,896,524.42

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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.