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Finding the Third Proportional to 406,363,394.25 and 890,361,461.25

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Solution

The third proportional to 406,363,394.25 and 890,361,461.25 is: 1,950,824,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,363,394.25 : 890,361,461.25 = 890,361,461.25 : x
  2. Step 2: Convert to fraction form
    406,363,394.25/890,361,461.25 = 890,361,461.25/x
  3. Step 3: Cross multiply
    406,363,394.25x = 890,361,461.25 × 890,361,461.25
  4. Step 4: Simplify right side
    406,363,394.25x = 792,743,531,679,235,200
  5. Step 5: Solve for x
    x = 792,743,531,679,235,200/406,363,394.25
  6. Step 6: Final answer
    x = 1,950,824,170.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.