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Finding the Third Proportional to 597,297,877 and 830,494,955

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Solution

The third proportional to 597,297,877 and 830,494,955 is: 1,154,736,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,297,877 : 830,494,955 = 830,494,955 : x
  2. Step 2: Convert to fraction form
    597,297,877/830,494,955 = 830,494,955/x
  3. Step 3: Cross multiply
    597,297,877x = 830,494,955 × 830,494,955
  4. Step 4: Simplify right side
    597,297,877x = 689,721,870,280,451,968
  5. Step 5: Solve for x
    x = 689,721,870,280,451,968/597,297,877
  6. Step 6: Final answer
    x = 1,154,736,852.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.