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Finding the Third Proportional to 406,159 and 880,046

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Solution

The third proportional to 406,159 and 880,046 is: 1,906,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,159 : 880,046 = 880,046 : x
  2. Step 2: Convert to fraction form
    406,159/880,046 = 880,046/x
  3. Step 3: Cross multiply
    406,159x = 880,046 × 880,046
  4. Step 4: Simplify right side
    406,159x = 774,480,962,116
  5. Step 5: Solve for x
    x = 774,480,962,116/406,159
  6. Step 6: Final answer
    x = 1,906,841.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.