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Finding the Third Proportional to 1,060,896,692 and 2,231,734,319

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Solution

The third proportional to 1,060,896,692 and 2,231,734,319 is: 4,694,743,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060,896,692 : 2,231,734,319 = 2,231,734,319 : x
  2. Step 2: Convert to fraction form
    1,060,896,692/2,231,734,319 = 2,231,734,319/x
  3. Step 3: Cross multiply
    1,060,896,692x = 2,231,734,319 × 2,231,734,319
  4. Step 4: Simplify right side
    1,060,896,692x = 4,980,638,070,602,393,600
  5. Step 5: Solve for x
    x = 4,980,638,070,602,393,600/1,060,896,692
  6. Step 6: Final answer
    x = 4,694,743,708.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.