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Finding the Third Proportional to 771,681 and 1,100,769

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Solution

The third proportional to 771,681 and 1,100,769 is: 1,570,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,681 : 1,100,769 = 1,100,769 : x
  2. Step 2: Convert to fraction form
    771,681/1,100,769 = 1,100,769/x
  3. Step 3: Cross multiply
    771,681x = 1,100,769 × 1,100,769
  4. Step 4: Simplify right side
    771,681x = 1,211,692,391,361
  5. Step 5: Solve for x
    x = 1,211,692,391,361/771,681
  6. Step 6: Final answer
    x = 1,570,198.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.