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Finding the Third Proportional to 712,824 and 942,222

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Solution

The third proportional to 712,824 and 942,222 is: 1,245,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,824 : 942,222 = 942,222 : x
  2. Step 2: Convert to fraction form
    712,824/942,222 = 942,222/x
  3. Step 3: Cross multiply
    712,824x = 942,222 × 942,222
  4. Step 4: Simplify right side
    712,824x = 887,782,297,284
  5. Step 5: Solve for x
    x = 887,782,297,284/712,824
  6. Step 6: Final answer
    x = 1,245,443.89

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.