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Finding the Third Proportional to 765,521 and 1,788,036

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Solution

The third proportional to 765,521 and 1,788,036 is: 4,176,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,521 : 1,788,036 = 1,788,036 : x
  2. Step 2: Convert to fraction form
    765,521/1,788,036 = 1,788,036/x
  3. Step 3: Cross multiply
    765,521x = 1,788,036 × 1,788,036
  4. Step 4: Simplify right side
    765,521x = 3,197,072,737,296
  5. Step 5: Solve for x
    x = 3,197,072,737,296/765,521
  6. Step 6: Final answer
    x = 4,176,335.77

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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.