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Finding the Third Proportional to 2,473,725 and 5,321,415

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Solution

The third proportional to 2,473,725 and 5,321,415 is: 11,447,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,725 : 5,321,415 = 5,321,415 : x
  2. Step 2: Convert to fraction form
    2,473,725/5,321,415 = 5,321,415/x
  3. Step 3: Cross multiply
    2,473,725x = 5,321,415 × 5,321,415
  4. Step 4: Simplify right side
    2,473,725x = 28,317,457,602,225
  5. Step 5: Solve for x
    x = 28,317,457,602,225/2,473,725
  6. Step 6: Final answer
    x = 11,447,294.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.