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Finding the Third Proportional to 674,511 and 1,036,786

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Solution

The third proportional to 674,511 and 1,036,786 is: 1,593,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,511 : 1,036,786 = 1,036,786 : x
  2. Step 2: Convert to fraction form
    674,511/1,036,786 = 1,036,786/x
  3. Step 3: Cross multiply
    674,511x = 1,036,786 × 1,036,786
  4. Step 4: Simplify right side
    674,511x = 1,074,925,209,796
  5. Step 5: Solve for x
    x = 1,074,925,209,796/674,511
  6. Step 6: Final answer
    x = 1,593,636.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.