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Finding the Third Proportional to 493,535 and 1,071,633

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Solution

The third proportional to 493,535 and 1,071,633 is: 2,326,881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,535 : 1,071,633 = 1,071,633 : x
  2. Step 2: Convert to fraction form
    493,535/1,071,633 = 1,071,633/x
  3. Step 3: Cross multiply
    493,535x = 1,071,633 × 1,071,633
  4. Step 4: Simplify right side
    493,535x = 1,148,397,286,689
  5. Step 5: Solve for x
    x = 1,148,397,286,689/493,535
  6. Step 6: Final answer
    x = 2,326,881.15

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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.