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Finding the Third Proportional to 1,564,116 and 3,427,203

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Solution

The third proportional to 1,564,116 and 3,427,203 is: 7,509,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,116 : 3,427,203 = 3,427,203 : x
  2. Step 2: Convert to fraction form
    1,564,116/3,427,203 = 3,427,203/x
  3. Step 3: Cross multiply
    1,564,116x = 3,427,203 × 3,427,203
  4. Step 4: Simplify right side
    1,564,116x = 11,745,720,403,209
  5. Step 5: Solve for x
    x = 11,745,720,403,209/1,564,116
  6. Step 6: Final answer
    x = 7,509,494.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.