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Finding the Third Proportional to 597,297,873 and 830,494,948.75

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Solution

The third proportional to 597,297,873 and 830,494,948.75 is: 1,154,736,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,297,873 : 830,494,948.75 = 830,494,948.75 : x
  2. Step 2: Convert to fraction form
    597,297,873/830,494,948.75 = 830,494,948.75/x
  3. Step 3: Cross multiply
    597,297,873x = 830,494,948.75 × 830,494,948.75
  4. Step 4: Simplify right side
    597,297,873x = 689,721,859,899,265,152
  5. Step 5: Solve for x
    x = 689,721,859,899,265,152/597,297,873
  6. Step 6: Final answer
    x = 1,154,736,842.50

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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.