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Finding the Third Proportional to 406,809 and 841,906

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Solution

The third proportional to 406,809 and 841,906 is: 1,742,355.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,809 : 841,906 = 841,906 : x
  2. Step 2: Convert to fraction form
    406,809/841,906 = 841,906/x
  3. Step 3: Cross multiply
    406,809x = 841,906 × 841,906
  4. Step 4: Simplify right side
    406,809x = 708,805,712,836
  5. Step 5: Solve for x
    x = 708,805,712,836/406,809
  6. Step 6: Final answer
    x = 1,742,355.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.