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Finding the Third Proportional to 774,747 and 1,184,319

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Solution

The third proportional to 774,747 and 1,184,319 is: 1,810,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,747 : 1,184,319 = 1,184,319 : x
  2. Step 2: Convert to fraction form
    774,747/1,184,319 = 1,184,319/x
  3. Step 3: Cross multiply
    774,747x = 1,184,319 × 1,184,319
  4. Step 4: Simplify right side
    774,747x = 1,402,611,493,761
  5. Step 5: Solve for x
    x = 1,402,611,493,761/774,747
  6. Step 6: Final answer
    x = 1,810,412.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.