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Finding the Third Proportional to 765,511 and 1,788,010

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Solution

The third proportional to 765,511 and 1,788,010 is: 4,176,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,511 : 1,788,010 = 1,788,010 : x
  2. Step 2: Convert to fraction form
    765,511/1,788,010 = 1,788,010/x
  3. Step 3: Cross multiply
    765,511x = 1,788,010 × 1,788,010
  4. Step 4: Simplify right side
    765,511x = 3,196,979,760,100
  5. Step 5: Solve for x
    x = 3,196,979,760,100/765,511
  6. Step 6: Final answer
    x = 4,176,268.87

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.