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Finding the Third Proportional to 406,127 and 880,051

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Solution

The third proportional to 406,127 and 880,051 is: 1,907,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,127 : 880,051 = 880,051 : x
  2. Step 2: Convert to fraction form
    406,127/880,051 = 880,051/x
  3. Step 3: Cross multiply
    406,127x = 880,051 × 880,051
  4. Step 4: Simplify right side
    406,127x = 774,489,762,601
  5. Step 5: Solve for x
    x = 774,489,762,601/406,127
  6. Step 6: Final answer
    x = 1,907,013.72

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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.