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Finding the Third Proportional to 569,680 and 893,624

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Solution

The third proportional to 569,680 and 893,624 is: 1,401,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,680 : 893,624 = 893,624 : x
  2. Step 2: Convert to fraction form
    569,680/893,624 = 893,624/x
  3. Step 3: Cross multiply
    569,680x = 893,624 × 893,624
  4. Step 4: Simplify right side
    569,680x = 798,563,853,376
  5. Step 5: Solve for x
    x = 798,563,853,376/569,680
  6. Step 6: Final answer
    x = 1,401,776.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.