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Finding the Third Proportional to 686,868 and 1,475,304

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Solution

The third proportional to 686,868 and 1,475,304 is: 3,168,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,868 : 1,475,304 = 1,475,304 : x
  2. Step 2: Convert to fraction form
    686,868/1,475,304 = 1,475,304/x
  3. Step 3: Cross multiply
    686,868x = 1,475,304 × 1,475,304
  4. Step 4: Simplify right side
    686,868x = 2,176,521,892,416
  5. Step 5: Solve for x
    x = 2,176,521,892,416/686,868
  6. Step 6: Final answer
    x = 3,168,762.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.