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Finding the Third Proportional to 581,796 and 889,590

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Solution

The third proportional to 581,796 and 889,590 is: 1,360,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,796 : 889,590 = 889,590 : x
  2. Step 2: Convert to fraction form
    581,796/889,590 = 889,590/x
  3. Step 3: Cross multiply
    581,796x = 889,590 × 889,590
  4. Step 4: Simplify right side
    581,796x = 791,370,368,100
  5. Step 5: Solve for x
    x = 791,370,368,100/581,796
  6. Step 6: Final answer
    x = 1,360,219.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.