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Finding the Third Proportional to 2,163,546 and 4,627,260

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Solution

The third proportional to 2,163,546 and 4,627,260 is: 9,896,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,546 : 4,627,260 = 4,627,260 : x
  2. Step 2: Convert to fraction form
    2,163,546/4,627,260 = 4,627,260/x
  3. Step 3: Cross multiply
    2,163,546x = 4,627,260 × 4,627,260
  4. Step 4: Simplify right side
    2,163,546x = 21,411,535,107,600
  5. Step 5: Solve for x
    x = 21,411,535,107,600/2,163,546
  6. Step 6: Final answer
    x = 9,896,500.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.