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Finding the Third Proportional to 772,066 and 1,113,807

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Solution

The third proportional to 772,066 and 1,113,807 is: 1,606,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,066 : 1,113,807 = 1,113,807 : x
  2. Step 2: Convert to fraction form
    772,066/1,113,807 = 1,113,807/x
  3. Step 3: Cross multiply
    772,066x = 1,113,807 × 1,113,807
  4. Step 4: Simplify right side
    772,066x = 1,240,566,033,249
  5. Step 5: Solve for x
    x = 1,240,566,033,249/772,066
  6. Step 6: Final answer
    x = 1,606,813.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.