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Finding the Third Proportional to 1,076,194,790 and 1,538,960,382

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Solution

The third proportional to 1,076,194,790 and 1,538,960,382 is: 2,200,715,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,194,790 : 1,538,960,382 = 1,538,960,382 : x
  2. Step 2: Convert to fraction form
    1,076,194,790/1,538,960,382 = 1,538,960,382/x
  3. Step 3: Cross multiply
    1,076,194,790x = 1,538,960,382 × 1,538,960,382
  4. Step 4: Simplify right side
    1,076,194,790x = 2,368,399,057,365,585,920
  5. Step 5: Solve for x
    x = 2,368,399,057,365,585,920/1,076,194,790
  6. Step 6: Final answer
    x = 2,200,715,966.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.