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Finding the Third Proportional to 604,551 and 1,319,892

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Solution

The third proportional to 604,551 and 1,319,892 is: 2,881,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,551 : 1,319,892 = 1,319,892 : x
  2. Step 2: Convert to fraction form
    604,551/1,319,892 = 1,319,892/x
  3. Step 3: Cross multiply
    604,551x = 1,319,892 × 1,319,892
  4. Step 4: Simplify right side
    604,551x = 1,742,114,891,664
  5. Step 5: Solve for x
    x = 1,742,114,891,664/604,551
  6. Step 6: Final answer
    x = 2,881,667.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.