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Finding the Third Proportional to 657,960 and 1,413,824.25

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Solution

The third proportional to 657,960 and 1,413,824.25 is: 3,038,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,960 : 1,413,824.25 = 1,413,824.25 : x
  2. Step 2: Convert to fraction form
    657,960/1,413,824.25 = 1,413,824.25/x
  3. Step 3: Cross multiply
    657,960x = 1,413,824.25 × 1,413,824.25
  4. Step 4: Simplify right side
    657,960x = 1,998,899,009,888.06
  5. Step 5: Solve for x
    x = 1,998,899,009,888.06/657,960
  6. Step 6: Final answer
    x = 3,038,025.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.