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Finding the Third Proportional to 473,824 and 1,118,539

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Solution

The third proportional to 473,824 and 1,118,539 is: 2,640,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,824 : 1,118,539 = 1,118,539 : x
  2. Step 2: Convert to fraction form
    473,824/1,118,539 = 1,118,539/x
  3. Step 3: Cross multiply
    473,824x = 1,118,539 × 1,118,539
  4. Step 4: Simplify right side
    473,824x = 1,251,129,494,521
  5. Step 5: Solve for x
    x = 1,251,129,494,521/473,824
  6. Step 6: Final answer
    x = 2,640,494.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.