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Finding the Third Proportional to 765,524 and 1,788,044

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Solution

The third proportional to 765,524 and 1,788,044 is: 4,176,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,524 : 1,788,044 = 1,788,044 : x
  2. Step 2: Convert to fraction form
    765,524/1,788,044 = 1,788,044/x
  3. Step 3: Cross multiply
    765,524x = 1,788,044 × 1,788,044
  4. Step 4: Simplify right side
    765,524x = 3,197,101,345,936
  5. Step 5: Solve for x
    x = 3,197,101,345,936/765,524
  6. Step 6: Final answer
    x = 4,176,356.78

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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.