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Finding the Third Proportional to 536,680 and 1,148,508

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Solution

The third proportional to 536,680 and 1,148,508 is: 2,457,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,680 : 1,148,508 = 1,148,508 : x
  2. Step 2: Convert to fraction form
    536,680/1,148,508 = 1,148,508/x
  3. Step 3: Cross multiply
    536,680x = 1,148,508 × 1,148,508
  4. Step 4: Simplify right side
    536,680x = 1,319,070,626,064
  5. Step 5: Solve for x
    x = 1,319,070,626,064/536,680
  6. Step 6: Final answer
    x = 2,457,834.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.