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Finding the Third Proportional to 540,510 and 847,883

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Solution

The third proportional to 540,510 and 847,883 is: 1,330,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,510 : 847,883 = 847,883 : x
  2. Step 2: Convert to fraction form
    540,510/847,883 = 847,883/x
  3. Step 3: Cross multiply
    540,510x = 847,883 × 847,883
  4. Step 4: Simplify right side
    540,510x = 718,905,581,689
  5. Step 5: Solve for x
    x = 718,905,581,689/540,510
  6. Step 6: Final answer
    x = 1,330,050.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.