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Finding the Third Proportional to 555,200 and 1,205,534

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Solution

The third proportional to 555,200 and 1,205,534 is: 2,617,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,200 : 1,205,534 = 1,205,534 : x
  2. Step 2: Convert to fraction form
    555,200/1,205,534 = 1,205,534/x
  3. Step 3: Cross multiply
    555,200x = 1,205,534 × 1,205,534
  4. Step 4: Simplify right side
    555,200x = 1,453,312,225,156
  5. Step 5: Solve for x
    x = 1,453,312,225,156/555,200
  6. Step 6: Final answer
    x = 2,617,637.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.