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Finding the Third Proportional to 517,664 and 1,060,430

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Solution

The third proportional to 517,664 and 1,060,430 is: 2,172,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,664 : 1,060,430 = 1,060,430 : x
  2. Step 2: Convert to fraction form
    517,664/1,060,430 = 1,060,430/x
  3. Step 3: Cross multiply
    517,664x = 1,060,430 × 1,060,430
  4. Step 4: Simplify right side
    517,664x = 1,124,511,784,900
  5. Step 5: Solve for x
    x = 1,124,511,784,900/517,664
  6. Step 6: Final answer
    x = 2,172,281.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.