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Finding the Third Proportional to 616,374 and 978,009

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Solution

The third proportional to 616,374 and 978,009 is: 1,551,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,374 : 978,009 = 978,009 : x
  2. Step 2: Convert to fraction form
    616,374/978,009 = 978,009/x
  3. Step 3: Cross multiply
    616,374x = 978,009 × 978,009
  4. Step 4: Simplify right side
    616,374x = 956,501,604,081
  5. Step 5: Solve for x
    x = 956,501,604,081/616,374
  6. Step 6: Final answer
    x = 1,551,820.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.