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Finding the Third Proportional to 785,996 and 1,186,465

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Solution

The third proportional to 785,996 and 1,186,465 is: 1,790,975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,996 : 1,186,465 = 1,186,465 : x
  2. Step 2: Convert to fraction form
    785,996/1,186,465 = 1,186,465/x
  3. Step 3: Cross multiply
    785,996x = 1,186,465 × 1,186,465
  4. Step 4: Simplify right side
    785,996x = 1,407,699,196,225
  5. Step 5: Solve for x
    x = 1,407,699,196,225/785,996
  6. Step 6: Final answer
    x = 1,790,975.01

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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.