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Finding the Third Proportional to 657,069 and 960,657.75

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Solution

The third proportional to 657,069 and 960,657.75 is: 1,404,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,069 : 960,657.75 = 960,657.75 : x
  2. Step 2: Convert to fraction form
    657,069/960,657.75 = 960,657.75/x
  3. Step 3: Cross multiply
    657,069x = 960,657.75 × 960,657.75
  4. Step 4: Simplify right side
    657,069x = 922,863,312,635.06
  5. Step 5: Solve for x
    x = 922,863,312,635.06/657,069
  6. Step 6: Final answer
    x = 1,404,515.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.