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Finding the Third Proportional to 705,612 and 1,524,402

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Solution

The third proportional to 705,612 and 1,524,402 is: 3,293,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,612 : 1,524,402 = 1,524,402 : x
  2. Step 2: Convert to fraction form
    705,612/1,524,402 = 1,524,402/x
  3. Step 3: Cross multiply
    705,612x = 1,524,402 × 1,524,402
  4. Step 4: Simplify right side
    705,612x = 2,323,801,457,604
  5. Step 5: Solve for x
    x = 2,323,801,457,604/705,612
  6. Step 6: Final answer
    x = 3,293,313.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.