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Finding the Third Proportional to 581,964 and 875,110

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Solution

The third proportional to 581,964 and 875,110 is: 1,315,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,964 : 875,110 = 875,110 : x
  2. Step 2: Convert to fraction form
    581,964/875,110 = 875,110/x
  3. Step 3: Cross multiply
    581,964x = 875,110 × 875,110
  4. Step 4: Simplify right side
    581,964x = 765,817,512,100
  5. Step 5: Solve for x
    x = 765,817,512,100/581,964
  6. Step 6: Final answer
    x = 1,315,919.05

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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.