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Finding the Third Proportional to 765,509 and 1,788,005

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Solution

The third proportional to 765,509 and 1,788,005 is: 4,176,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,509 : 1,788,005 = 1,788,005 : x
  2. Step 2: Convert to fraction form
    765,509/1,788,005 = 1,788,005/x
  3. Step 3: Cross multiply
    765,509x = 1,788,005 × 1,788,005
  4. Step 4: Simplify right side
    765,509x = 3,196,961,880,025
  5. Step 5: Solve for x
    x = 3,196,961,880,025/765,509
  6. Step 6: Final answer
    x = 4,176,256.43

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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.