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Finding the Third Proportional to 590,360 and 1,266,724

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Solution

The third proportional to 590,360 and 1,266,724 is: 2,717,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,360 : 1,266,724 = 1,266,724 : x
  2. Step 2: Convert to fraction form
    590,360/1,266,724 = 1,266,724/x
  3. Step 3: Cross multiply
    590,360x = 1,266,724 × 1,266,724
  4. Step 4: Simplify right side
    590,360x = 1,604,589,692,176
  5. Step 5: Solve for x
    x = 1,604,589,692,176/590,360
  6. Step 6: Final answer
    x = 2,717,985.11

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