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Finding the Third Proportional to 707,904 and 1,540,206

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Solution

The third proportional to 707,904 and 1,540,206 is: 3,351,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,904 : 1,540,206 = 1,540,206 : x
  2. Step 2: Convert to fraction form
    707,904/1,540,206 = 1,540,206/x
  3. Step 3: Cross multiply
    707,904x = 1,540,206 × 1,540,206
  4. Step 4: Simplify right side
    707,904x = 2,372,234,522,436
  5. Step 5: Solve for x
    x = 2,372,234,522,436/707,904
  6. Step 6: Final answer
    x = 3,351,068.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.