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Finding the Third Proportional to 601,122 and 899,798

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Solution

The third proportional to 601,122 and 899,798 is: 1,346,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,122 : 899,798 = 899,798 : x
  2. Step 2: Convert to fraction form
    601,122/899,798 = 899,798/x
  3. Step 3: Cross multiply
    601,122x = 899,798 × 899,798
  4. Step 4: Simplify right side
    601,122x = 809,636,440,804
  5. Step 5: Solve for x
    x = 809,636,440,804/601,122
  6. Step 6: Final answer
    x = 1,346,875.41

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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.