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Finding the Third Proportional to 905,580 and 1,225,510

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Solution

The third proportional to 905,580 and 1,225,510 is: 1,658,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,580 : 1,225,510 = 1,225,510 : x
  2. Step 2: Convert to fraction form
    905,580/1,225,510 = 1,225,510/x
  3. Step 3: Cross multiply
    905,580x = 1,225,510 × 1,225,510
  4. Step 4: Simplify right side
    905,580x = 1,501,874,760,100
  5. Step 5: Solve for x
    x = 1,501,874,760,100/905,580
  6. Step 6: Final answer
    x = 1,658,467.24

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.