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Finding the Third Proportional to 697,698 and 946,877

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Solution

The third proportional to 697,698 and 946,877 is: 1,285,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,698 : 946,877 = 946,877 : x
  2. Step 2: Convert to fraction form
    697,698/946,877 = 946,877/x
  3. Step 3: Cross multiply
    697,698x = 946,877 × 946,877
  4. Step 4: Simplify right side
    697,698x = 896,576,053,129
  5. Step 5: Solve for x
    x = 896,576,053,129/697,698
  6. Step 6: Final answer
    x = 1,285,048.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.