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Finding the Third Proportional to 604,643 and 874,056

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Solution

The third proportional to 604,643 and 874,056 is: 1,263,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,643 : 874,056 = 874,056 : x
  2. Step 2: Convert to fraction form
    604,643/874,056 = 874,056/x
  3. Step 3: Cross multiply
    604,643x = 874,056 × 874,056
  4. Step 4: Simplify right side
    604,643x = 763,973,891,136
  5. Step 5: Solve for x
    x = 763,973,891,136/604,643
  6. Step 6: Final answer
    x = 1,263,512.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.