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Finding the Third Proportional to 646,681 and 978,967

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Solution

The third proportional to 646,681 and 978,967 is: 1,481,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,681 : 978,967 = 978,967 : x
  2. Step 2: Convert to fraction form
    646,681/978,967 = 978,967/x
  3. Step 3: Cross multiply
    646,681x = 978,967 × 978,967
  4. Step 4: Simplify right side
    646,681x = 958,376,387,089
  5. Step 5: Solve for x
    x = 958,376,387,089/646,681
  6. Step 6: Final answer
    x = 1,481,992.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.