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Finding the Third Proportional to 622,535 and 916,000

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Solution

The third proportional to 622,535 and 916,000 is: 1,347,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,535 : 916,000 = 916,000 : x
  2. Step 2: Convert to fraction form
    622,535/916,000 = 916,000/x
  3. Step 3: Cross multiply
    622,535x = 916,000 × 916,000
  4. Step 4: Simplify right side
    622,535x = 839,056,000,000
  5. Step 5: Solve for x
    x = 839,056,000,000/622,535
  6. Step 6: Final answer
    x = 1,347,805.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.