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Finding the Third Proportional to 898,397 and 1,321,321

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Solution

The third proportional to 898,397 and 1,321,321 is: 1,943,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,397 : 1,321,321 = 1,321,321 : x
  2. Step 2: Convert to fraction form
    898,397/1,321,321 = 1,321,321/x
  3. Step 3: Cross multiply
    898,397x = 1,321,321 × 1,321,321
  4. Step 4: Simplify right side
    898,397x = 1,745,889,185,041
  5. Step 5: Solve for x
    x = 1,745,889,185,041/898,397
  6. Step 6: Final answer
    x = 1,943,338.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.