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Finding the Third Proportional to 1,655,208 and 3,546,648

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Solution

The third proportional to 1,655,208 and 3,546,648 is: 7,599,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655,208 : 3,546,648 = 3,546,648 : x
  2. Step 2: Convert to fraction form
    1,655,208/3,546,648 = 3,546,648/x
  3. Step 3: Cross multiply
    1,655,208x = 3,546,648 × 3,546,648
  4. Step 4: Simplify right side
    1,655,208x = 12,578,712,035,904
  5. Step 5: Solve for x
    x = 12,578,712,035,904/1,655,208
  6. Step 6: Final answer
    x = 7,599,475.13

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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.