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Finding the Third Proportional to 594,718 and 957,584

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Solution

The third proportional to 594,718 and 957,584 is: 1,541,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,718 : 957,584 = 957,584 : x
  2. Step 2: Convert to fraction form
    594,718/957,584 = 957,584/x
  3. Step 3: Cross multiply
    594,718x = 957,584 × 957,584
  4. Step 4: Simplify right side
    594,718x = 916,967,117,056
  5. Step 5: Solve for x
    x = 916,967,117,056/594,718
  6. Step 6: Final answer
    x = 1,541,851.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.