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Finding the Third Proportional to 406,130 and 880,057

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Solution

The third proportional to 406,130 and 880,057 is: 1,907,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,130 : 880,057 = 880,057 : x
  2. Step 2: Convert to fraction form
    406,130/880,057 = 880,057/x
  3. Step 3: Cross multiply
    406,130x = 880,057 × 880,057
  4. Step 4: Simplify right side
    406,130x = 774,500,323,249
  5. Step 5: Solve for x
    x = 774,500,323,249/406,130
  6. Step 6: Final answer
    x = 1,907,025.64

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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.