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Finding the Third Proportional to 653,265 and 1,026,558

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Solution

The third proportional to 653,265 and 1,026,558 is: 1,613,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,265 : 1,026,558 = 1,026,558 : x
  2. Step 2: Convert to fraction form
    653,265/1,026,558 = 1,026,558/x
  3. Step 3: Cross multiply
    653,265x = 1,026,558 × 1,026,558
  4. Step 4: Simplify right side
    653,265x = 1,053,821,327,364
  5. Step 5: Solve for x
    x = 1,053,821,327,364/653,265
  6. Step 6: Final answer
    x = 1,613,160.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.