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Finding the Third Proportional to 601,643 and 902,594

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Solution

The third proportional to 601,643 and 902,594 is: 1,354,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,643 : 902,594 = 902,594 : x
  2. Step 2: Convert to fraction form
    601,643/902,594 = 902,594/x
  3. Step 3: Cross multiply
    601,643x = 902,594 × 902,594
  4. Step 4: Simplify right side
    601,643x = 814,675,928,836
  5. Step 5: Solve for x
    x = 814,675,928,836/601,643
  6. Step 6: Final answer
    x = 1,354,085.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.