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Finding the Third Proportional to 619,409 and 917,598

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Solution

The third proportional to 619,409 and 917,598 is: 1,359,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,409 : 917,598 = 917,598 : x
  2. Step 2: Convert to fraction form
    619,409/917,598 = 917,598/x
  3. Step 3: Cross multiply
    619,409x = 917,598 × 917,598
  4. Step 4: Simplify right side
    619,409x = 841,986,089,604
  5. Step 5: Solve for x
    x = 841,986,089,604/619,409
  6. Step 6: Final answer
    x = 1,359,337.84

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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.