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Finding the Third Proportional to 776,072 and 1,159,327

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Solution

The third proportional to 776,072 and 1,159,327 is: 1,731,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,072 : 1,159,327 = 1,159,327 : x
  2. Step 2: Convert to fraction form
    776,072/1,159,327 = 1,159,327/x
  3. Step 3: Cross multiply
    776,072x = 1,159,327 × 1,159,327
  4. Step 4: Simplify right side
    776,072x = 1,344,039,092,929
  5. Step 5: Solve for x
    x = 1,344,039,092,929/776,072
  6. Step 6: Final answer
    x = 1,731,848.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.