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Finding the Third Proportional to 285,042,828 and 610,396,440

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Solution

The third proportional to 285,042,828 and 610,396,440 is: 1,307,115,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,042,828 : 610,396,440 = 610,396,440 : x
  2. Step 2: Convert to fraction form
    285,042,828/610,396,440 = 610,396,440/x
  3. Step 3: Cross multiply
    285,042,828x = 610,396,440 × 610,396,440
  4. Step 4: Simplify right side
    285,042,828x = 372,583,813,964,673,600
  5. Step 5: Solve for x
    x = 372,583,813,964,673,600/285,042,828
  6. Step 6: Final answer
    x = 1,307,115,202.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.