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Finding the Third Proportional to 540,480 and 836,943

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Solution

The third proportional to 540,480 and 836,943 is: 1,296,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,480 : 836,943 = 836,943 : x
  2. Step 2: Convert to fraction form
    540,480/836,943 = 836,943/x
  3. Step 3: Cross multiply
    540,480x = 836,943 × 836,943
  4. Step 4: Simplify right side
    540,480x = 700,473,585,249
  5. Step 5: Solve for x
    x = 700,473,585,249/540,480
  6. Step 6: Final answer
    x = 1,296,021.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.