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Finding the Third Proportional to 619,407 and 917,595

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Solution

The third proportional to 619,407 and 917,595 is: 1,359,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,407 : 917,595 = 917,595 : x
  2. Step 2: Convert to fraction form
    619,407/917,595 = 917,595/x
  3. Step 3: Cross multiply
    619,407x = 917,595 × 917,595
  4. Step 4: Simplify right side
    619,407x = 841,980,584,025
  5. Step 5: Solve for x
    x = 841,980,584,025/619,407
  6. Step 6: Final answer
    x = 1,359,333.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.