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Finding the Third Proportional to 1,255,480 and 2,675,210

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Solution

The third proportional to 1,255,480 and 2,675,210 is: 5,700,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,480 : 2,675,210 = 2,675,210 : x
  2. Step 2: Convert to fraction form
    1,255,480/2,675,210 = 2,675,210/x
  3. Step 3: Cross multiply
    1,255,480x = 2,675,210 × 2,675,210
  4. Step 4: Simplify right side
    1,255,480x = 7,156,748,544,100
  5. Step 5: Solve for x
    x = 7,156,748,544,100/1,255,480
  6. Step 6: Final answer
    x = 5,700,408.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.