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Finding the Third Proportional to 507,609 and 1,071,594

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Solution

The third proportional to 507,609 and 1,071,594 is: 2,262,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,609 : 1,071,594 = 1,071,594 : x
  2. Step 2: Convert to fraction form
    507,609/1,071,594 = 1,071,594/x
  3. Step 3: Cross multiply
    507,609x = 1,071,594 × 1,071,594
  4. Step 4: Simplify right side
    507,609x = 1,148,313,700,836
  5. Step 5: Solve for x
    x = 1,148,313,700,836/507,609
  6. Step 6: Final answer
    x = 2,262,201.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.