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Finding the Third Proportional to 785,187 and 1,184,346

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Solution

The third proportional to 785,187 and 1,184,346 is: 1,786,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,187 : 1,184,346 = 1,184,346 : x
  2. Step 2: Convert to fraction form
    785,187/1,184,346 = 1,184,346/x
  3. Step 3: Cross multiply
    785,187x = 1,184,346 × 1,184,346
  4. Step 4: Simplify right side
    785,187x = 1,402,675,447,716
  5. Step 5: Solve for x
    x = 1,402,675,447,716/785,187
  6. Step 6: Final answer
    x = 1,786,422.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.