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Finding the Third Proportional to 562,680,712 and 1,199,683,856

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Solution

The third proportional to 562,680,712 and 1,199,683,856 is: 2,557,829,553.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,680,712 : 1,199,683,856 = 1,199,683,856 : x
  2. Step 2: Convert to fraction form
    562,680,712/1,199,683,856 = 1,199,683,856/x
  3. Step 3: Cross multiply
    562,680,712x = 1,199,683,856 × 1,199,683,856
  4. Step 4: Simplify right side
    562,680,712x = 1,439,241,354,347,028,736
  5. Step 5: Solve for x
    x = 1,439,241,354,347,028,736/562,680,712
  6. Step 6: Final answer
    x = 2,557,829,553.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.