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Finding the Third Proportional to 710,208 and 1,525,824

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Solution

The third proportional to 710,208 and 1,525,824 is: 3,278,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,208 : 1,525,824 = 1,525,824 : x
  2. Step 2: Convert to fraction form
    710,208/1,525,824 = 1,525,824/x
  3. Step 3: Cross multiply
    710,208x = 1,525,824 × 1,525,824
  4. Step 4: Simplify right side
    710,208x = 2,328,138,878,976
  5. Step 5: Solve for x
    x = 2,328,138,878,976/710,208
  6. Step 6: Final answer
    x = 3,278,108.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.