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Finding the Third Proportional to 788,590 and 1,115,838

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Solution

The third proportional to 788,590 and 1,115,838 is: 1,578,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,590 : 1,115,838 = 1,115,838 : x
  2. Step 2: Convert to fraction form
    788,590/1,115,838 = 1,115,838/x
  3. Step 3: Cross multiply
    788,590x = 1,115,838 × 1,115,838
  4. Step 4: Simplify right side
    788,590x = 1,245,094,442,244
  5. Step 5: Solve for x
    x = 1,245,094,442,244/788,590
  6. Step 6: Final answer
    x = 1,578,886.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.