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Finding the Third Proportional to 506,720 and 1,094,638

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Solution

The third proportional to 506,720 and 1,094,638 is: 2,364,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,720 : 1,094,638 = 1,094,638 : x
  2. Step 2: Convert to fraction form
    506,720/1,094,638 = 1,094,638/x
  3. Step 3: Cross multiply
    506,720x = 1,094,638 × 1,094,638
  4. Step 4: Simplify right side
    506,720x = 1,198,232,351,044
  5. Step 5: Solve for x
    x = 1,198,232,351,044/506,720
  6. Step 6: Final answer
    x = 2,364,683.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.