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Finding the Third Proportional to 897,598 and 1,921,278

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Solution

The third proportional to 897,598 and 1,921,278 is: 4,112,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,598 : 1,921,278 = 1,921,278 : x
  2. Step 2: Convert to fraction form
    897,598/1,921,278 = 1,921,278/x
  3. Step 3: Cross multiply
    897,598x = 1,921,278 × 1,921,278
  4. Step 4: Simplify right side
    897,598x = 3,691,309,153,284
  5. Step 5: Solve for x
    x = 3,691,309,153,284/897,598
  6. Step 6: Final answer
    x = 4,112,430.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.