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Finding the Third Proportional to 408,045,994 and 885,370,300

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Solution

The third proportional to 408,045,994 and 885,370,300 is: 1,921,059,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045,994 : 885,370,300 = 885,370,300 : x
  2. Step 2: Convert to fraction form
    408,045,994/885,370,300 = 885,370,300/x
  3. Step 3: Cross multiply
    408,045,994x = 885,370,300 × 885,370,300
  4. Step 4: Simplify right side
    408,045,994x = 783,880,568,122,089,984
  5. Step 5: Solve for x
    x = 783,880,568,122,089,984/408,045,994
  6. Step 6: Final answer
    x = 1,921,059,340.49

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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.