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Finding the Third Proportional to 2,161,216 and 4,657,608

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Solution

The third proportional to 2,161,216 and 4,657,608 is: 10,037,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,216 : 4,657,608 = 4,657,608 : x
  2. Step 2: Convert to fraction form
    2,161,216/4,657,608 = 4,657,608/x
  3. Step 3: Cross multiply
    2,161,216x = 4,657,608 × 4,657,608
  4. Step 4: Simplify right side
    2,161,216x = 21,693,312,281,664
  5. Step 5: Solve for x
    x = 21,693,312,281,664/2,161,216
  6. Step 6: Final answer
    x = 10,037,549.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.