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Finding the Third Proportional to 646,685 and 978,973

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Solution

The third proportional to 646,685 and 978,973 is: 1,482,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,685 : 978,973 = 978,973 : x
  2. Step 2: Convert to fraction form
    646,685/978,973 = 978,973/x
  3. Step 3: Cross multiply
    646,685x = 978,973 × 978,973
  4. Step 4: Simplify right side
    646,685x = 958,388,134,729
  5. Step 5: Solve for x
    x = 958,388,134,729/646,685
  6. Step 6: Final answer
    x = 1,482,001.49

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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.