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Finding the Third Proportional to 710,050 and 1,533,824

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Solution

The third proportional to 710,050 and 1,533,824 is: 3,313,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,050 : 1,533,824 = 1,533,824 : x
  2. Step 2: Convert to fraction form
    710,050/1,533,824 = 1,533,824/x
  3. Step 3: Cross multiply
    710,050x = 1,533,824 × 1,533,824
  4. Step 4: Simplify right side
    710,050x = 2,352,616,062,976
  5. Step 5: Solve for x
    x = 2,352,616,062,976/710,050
  6. Step 6: Final answer
    x = 3,313,310.42

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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.