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Finding the Third Proportional to 406,125 and 880,047

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Solution

The third proportional to 406,125 and 880,047 is: 1,907,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,125 : 880,047 = 880,047 : x
  2. Step 2: Convert to fraction form
    406,125/880,047 = 880,047/x
  3. Step 3: Cross multiply
    406,125x = 880,047 × 880,047
  4. Step 4: Simplify right side
    406,125x = 774,482,722,209
  5. Step 5: Solve for x
    x = 774,482,722,209/406,125
  6. Step 6: Final answer
    x = 1,907,005.78

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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.