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Finding the Third Proportional to 776,091 and 1,159,371

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Solution

The third proportional to 776,091 and 1,159,371 is: 1,731,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,091 : 1,159,371 = 1,159,371 : x
  2. Step 2: Convert to fraction form
    776,091/1,159,371 = 1,159,371/x
  3. Step 3: Cross multiply
    776,091x = 1,159,371 × 1,159,371
  4. Step 4: Simplify right side
    776,091x = 1,344,141,115,641
  5. Step 5: Solve for x
    x = 1,344,141,115,641/776,091
  6. Step 6: Final answer
    x = 1,731,937.51

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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.