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Finding the Third Proportional to 713,454 and 978,321

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Solution

The third proportional to 713,454 and 978,321 is: 1,341,518.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,454 : 978,321 = 978,321 : x
  2. Step 2: Convert to fraction form
    713,454/978,321 = 978,321/x
  3. Step 3: Cross multiply
    713,454x = 978,321 × 978,321
  4. Step 4: Simplify right side
    713,454x = 957,111,979,041
  5. Step 5: Solve for x
    x = 957,111,979,041/713,454
  6. Step 6: Final answer
    x = 1,341,518.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.