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Finding the Third Proportional to 493,502 and 1,071,565

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Solution

The third proportional to 493,502 and 1,071,565 is: 2,326,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,502 : 1,071,565 = 1,071,565 : x
  2. Step 2: Convert to fraction form
    493,502/1,071,565 = 1,071,565/x
  3. Step 3: Cross multiply
    493,502x = 1,071,565 × 1,071,565
  4. Step 4: Simplify right side
    493,502x = 1,148,251,549,225
  5. Step 5: Solve for x
    x = 1,148,251,549,225/493,502
  6. Step 6: Final answer
    x = 2,326,741.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.