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Finding the Third Proportional to 414,693,806.63 and 890,929,368

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Solution

The third proportional to 414,693,806.63 and 890,929,368 is: 1,914,075,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,693,806.63 : 890,929,368 = 890,929,368 : x
  2. Step 2: Convert to fraction form
    414,693,806.63/890,929,368 = 890,929,368/x
  3. Step 3: Cross multiply
    414,693,806.63x = 890,929,368 × 890,929,368
  4. Step 4: Simplify right side
    414,693,806.63x = 793,755,138,764,879,360
  5. Step 5: Solve for x
    x = 793,755,138,764,879,360/414,693,806.63
  6. Step 6: Final answer
    x = 1,914,075,219.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.