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Finding the Third Proportional to 653,496 and 1,415,552.25

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Solution

The third proportional to 653,496 and 1,415,552.25 is: 3,066,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,496 : 1,415,552.25 = 1,415,552.25 : x
  2. Step 2: Convert to fraction form
    653,496/1,415,552.25 = 1,415,552.25/x
  3. Step 3: Cross multiply
    653,496x = 1,415,552.25 × 1,415,552.25
  4. Step 4: Simplify right side
    653,496x = 2,003,788,172,480.06
  5. Step 5: Solve for x
    x = 2,003,788,172,480.06/653,496
  6. Step 6: Final answer
    x = 3,066,259.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.