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Finding the Third Proportional to 601,867,713 and 1,220,658,579

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Solution

The third proportional to 601,867,713 and 1,220,658,579 is: 2,475,639,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,867,713 : 1,220,658,579 = 1,220,658,579 : x
  2. Step 2: Convert to fraction form
    601,867,713/1,220,658,579 = 1,220,658,579/x
  3. Step 3: Cross multiply
    601,867,713x = 1,220,658,579 × 1,220,658,579
  4. Step 4: Simplify right side
    601,867,713x = 1,490,007,366,486,299,136
  5. Step 5: Solve for x
    x = 1,490,007,366,486,299,136/601,867,713
  6. Step 6: Final answer
    x = 2,475,639,304.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.