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Finding the Third Proportional to 558,152 and 891,082

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Solution

The third proportional to 558,152 and 891,082 is: 1,422,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,152 : 891,082 = 891,082 : x
  2. Step 2: Convert to fraction form
    558,152/891,082 = 891,082/x
  3. Step 3: Cross multiply
    558,152x = 891,082 × 891,082
  4. Step 4: Simplify right side
    558,152x = 794,027,130,724
  5. Step 5: Solve for x
    x = 794,027,130,724/558,152
  6. Step 6: Final answer
    x = 1,422,600.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.