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Finding the Third Proportional to 616,574,928.75 and 890,844,296.44

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Solution

The third proportional to 616,574,928.75 and 890,844,296.44 is: 1,287,116,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,574,928.75 : 890,844,296.44 = 890,844,296.44 : x
  2. Step 2: Convert to fraction form
    616,574,928.75/890,844,296.44 = 890,844,296.44/x
  3. Step 3: Cross multiply
    616,574,928.75x = 890,844,296.44 × 890,844,296.44
  4. Step 4: Simplify right side
    616,574,928.75x = 793,603,560,495,224,320
  5. Step 5: Solve for x
    x = 793,603,560,495,224,320/616,574,928.75
  6. Step 6: Final answer
    x = 1,287,116,169.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.