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Finding the Third Proportional to 696,393 and 1,506,834

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Solution

The third proportional to 696,393 and 1,506,834 is: 3,260,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,393 : 1,506,834 = 1,506,834 : x
  2. Step 2: Convert to fraction form
    696,393/1,506,834 = 1,506,834/x
  3. Step 3: Cross multiply
    696,393x = 1,506,834 × 1,506,834
  4. Step 4: Simplify right side
    696,393x = 2,270,548,703,556
  5. Step 5: Solve for x
    x = 2,270,548,703,556/696,393
  6. Step 6: Final answer
    x = 3,260,441.59

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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.