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Finding the Third Proportional to 406,970 and 883,972

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Solution

The third proportional to 406,970 and 883,972 is: 1,920,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,970 : 883,972 = 883,972 : x
  2. Step 2: Convert to fraction form
    406,970/883,972 = 883,972/x
  3. Step 3: Cross multiply
    406,970x = 883,972 × 883,972
  4. Step 4: Simplify right side
    406,970x = 781,406,496,784
  5. Step 5: Solve for x
    x = 781,406,496,784/406,970
  6. Step 6: Final answer
    x = 1,920,059.21

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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.