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Finding the Third Proportional to 880,506 and 1,255,761

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Solution

The third proportional to 880,506 and 1,255,761 is: 1,790,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,506 : 1,255,761 = 1,255,761 : x
  2. Step 2: Convert to fraction form
    880,506/1,255,761 = 1,255,761/x
  3. Step 3: Cross multiply
    880,506x = 1,255,761 × 1,255,761
  4. Step 4: Simplify right side
    880,506x = 1,576,935,689,121
  5. Step 5: Solve for x
    x = 1,576,935,689,121/880,506
  6. Step 6: Final answer
    x = 1,790,942.58

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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.