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Finding the Third Proportional to 705,880 and 1,065,402

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Solution

The third proportional to 705,880 and 1,065,402 is: 1,608,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,880 : 1,065,402 = 1,065,402 : x
  2. Step 2: Convert to fraction form
    705,880/1,065,402 = 1,065,402/x
  3. Step 3: Cross multiply
    705,880x = 1,065,402 × 1,065,402
  4. Step 4: Simplify right side
    705,880x = 1,135,081,421,604
  5. Step 5: Solve for x
    x = 1,135,081,421,604/705,880
  6. Step 6: Final answer
    x = 1,608,037.37

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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.