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Finding the Third Proportional to 557,340 and 1,221,480

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Solution

The third proportional to 557,340 and 1,221,480 is: 2,677,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,340 : 1,221,480 = 1,221,480 : x
  2. Step 2: Convert to fraction form
    557,340/1,221,480 = 1,221,480/x
  3. Step 3: Cross multiply
    557,340x = 1,221,480 × 1,221,480
  4. Step 4: Simplify right side
    557,340x = 1,492,013,390,400
  5. Step 5: Solve for x
    x = 1,492,013,390,400/557,340
  6. Step 6: Final answer
    x = 2,677,025.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.