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Finding the Third Proportional to 1,054,255,812 and 1,542,575,706

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Solution

The third proportional to 1,054,255,812 and 1,542,575,706 is: 2,257,080,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,255,812 : 1,542,575,706 = 1,542,575,706 : x
  2. Step 2: Convert to fraction form
    1,054,255,812/1,542,575,706 = 1,542,575,706/x
  3. Step 3: Cross multiply
    1,054,255,812x = 1,542,575,706 × 1,542,575,706
  4. Step 4: Simplify right side
    1,054,255,812x = 2,379,539,808,741,398,528
  5. Step 5: Solve for x
    x = 2,379,539,808,741,398,528/1,054,255,812
  6. Step 6: Final answer
    x = 2,257,080,095.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.