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Finding the Third Proportional to 586,722,936 and 1,243,396,698

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Solution

The third proportional to 586,722,936 and 1,243,396,698 is: 2,635,034,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,722,936 : 1,243,396,698 = 1,243,396,698 : x
  2. Step 2: Convert to fraction form
    586,722,936/1,243,396,698 = 1,243,396,698/x
  3. Step 3: Cross multiply
    586,722,936x = 1,243,396,698 × 1,243,396,698
  4. Step 4: Simplify right side
    586,722,936x = 1,546,035,348,597,303,296
  5. Step 5: Solve for x
    x = 1,546,035,348,597,303,296/586,722,936
  6. Step 6: Final answer
    x = 2,635,034,790.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.