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Finding the Third Proportional to 699,123 and 1,497,894

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Solution

The third proportional to 699,123 and 1,497,894 is: 3,209,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,123 : 1,497,894 = 1,497,894 : x
  2. Step 2: Convert to fraction form
    699,123/1,497,894 = 1,497,894/x
  3. Step 3: Cross multiply
    699,123x = 1,497,894 × 1,497,894
  4. Step 4: Simplify right side
    699,123x = 2,243,686,435,236
  5. Step 5: Solve for x
    x = 2,243,686,435,236/699,123
  6. Step 6: Final answer
    x = 3,209,287.11

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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.