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Finding the Third Proportional to 654,931 and 978,352

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Solution

The third proportional to 654,931 and 978,352 is: 1,461,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,931 : 978,352 = 978,352 : x
  2. Step 2: Convert to fraction form
    654,931/978,352 = 978,352/x
  3. Step 3: Cross multiply
    654,931x = 978,352 × 978,352
  4. Step 4: Simplify right side
    654,931x = 957,172,635,904
  5. Step 5: Solve for x
    x = 957,172,635,904/654,931
  6. Step 6: Final answer
    x = 1,461,486.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.