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Finding the Third Proportional to 442,698 and 968,502

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Solution

The third proportional to 442,698 and 968,502 is: 2,118,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,698 : 968,502 = 968,502 : x
  2. Step 2: Convert to fraction form
    442,698/968,502 = 968,502/x
  3. Step 3: Cross multiply
    442,698x = 968,502 × 968,502
  4. Step 4: Simplify right side
    442,698x = 937,996,124,004
  5. Step 5: Solve for x
    x = 937,996,124,004/442,698
  6. Step 6: Final answer
    x = 2,118,817.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.