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Finding the Third Proportional to 774,086 and 1,138,365

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Solution

The third proportional to 774,086 and 1,138,365 is: 1,674,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,086 : 1,138,365 = 1,138,365 : x
  2. Step 2: Convert to fraction form
    774,086/1,138,365 = 1,138,365/x
  3. Step 3: Cross multiply
    774,086x = 1,138,365 × 1,138,365
  4. Step 4: Simplify right side
    774,086x = 1,295,874,873,225
  5. Step 5: Solve for x
    x = 1,295,874,873,225/774,086
  6. Step 6: Final answer
    x = 1,674,070.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.