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Finding the Third Proportional to 869,728 and 1,201,776

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Solution

The third proportional to 869,728 and 1,201,776 is: 1,660,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,728 : 1,201,776 = 1,201,776 : x
  2. Step 2: Convert to fraction form
    869,728/1,201,776 = 1,201,776/x
  3. Step 3: Cross multiply
    869,728x = 1,201,776 × 1,201,776
  4. Step 4: Simplify right side
    869,728x = 1,444,265,554,176
  5. Step 5: Solve for x
    x = 1,444,265,554,176/869,728
  6. Step 6: Final answer
    x = 1,660,594.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.