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Finding the Third Proportional to 473,370 and 1,022,556

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Solution

The third proportional to 473,370 and 1,022,556 is: 2,208,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,370 : 1,022,556 = 1,022,556 : x
  2. Step 2: Convert to fraction form
    473,370/1,022,556 = 1,022,556/x
  3. Step 3: Cross multiply
    473,370x = 1,022,556 × 1,022,556
  4. Step 4: Simplify right side
    473,370x = 1,045,620,773,136
  5. Step 5: Solve for x
    x = 1,045,620,773,136/473,370
  6. Step 6: Final answer
    x = 2,208,886.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.