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Finding the Third Proportional to 562,714 and 1,301,562

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Solution

The third proportional to 562,714 and 1,301,562 is: 3,010,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,714 : 1,301,562 = 1,301,562 : x
  2. Step 2: Convert to fraction form
    562,714/1,301,562 = 1,301,562/x
  3. Step 3: Cross multiply
    562,714x = 1,301,562 × 1,301,562
  4. Step 4: Simplify right side
    562,714x = 1,694,063,639,844
  5. Step 5: Solve for x
    x = 1,694,063,639,844/562,714
  6. Step 6: Final answer
    x = 3,010,523.36

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.