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Finding the Third Proportional to 402,526 and 874,944

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Solution

The third proportional to 402,526 and 874,944 is: 1,901,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,526 : 874,944 = 874,944 : x
  2. Step 2: Convert to fraction form
    402,526/874,944 = 874,944/x
  3. Step 3: Cross multiply
    402,526x = 874,944 × 874,944
  4. Step 4: Simplify right side
    402,526x = 765,527,003,136
  5. Step 5: Solve for x
    x = 765,527,003,136/402,526
  6. Step 6: Final answer
    x = 1,901,807.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.