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Finding the Third Proportional to 585,919,656 and 797,922,576

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Solution

The third proportional to 585,919,656 and 797,922,576 is: 1,086,634,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,919,656 : 797,922,576 = 797,922,576 : x
  2. Step 2: Convert to fraction form
    585,919,656/797,922,576 = 797,922,576/x
  3. Step 3: Cross multiply
    585,919,656x = 797,922,576 × 797,922,576
  4. Step 4: Simplify right side
    585,919,656x = 636,680,437,290,475,776
  5. Step 5: Solve for x
    x = 636,680,437,290,475,776/585,919,656
  6. Step 6: Final answer
    x = 1,086,634,371.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.