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Finding the Third Proportional to 590,389 and 1,222,785

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Solution

The third proportional to 590,389 and 1,222,785 is: 2,532,572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,389 : 1,222,785 = 1,222,785 : x
  2. Step 2: Convert to fraction form
    590,389/1,222,785 = 1,222,785/x
  3. Step 3: Cross multiply
    590,389x = 1,222,785 × 1,222,785
  4. Step 4: Simplify right side
    590,389x = 1,495,203,156,225
  5. Step 5: Solve for x
    x = 1,495,203,156,225/590,389
  6. Step 6: Final answer
    x = 2,532,572.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.