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Finding the Third Proportional to 508,023 and 1,119,708

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Solution

The third proportional to 508,023 and 1,119,708 is: 2,467,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,023 : 1,119,708 = 1,119,708 : x
  2. Step 2: Convert to fraction form
    508,023/1,119,708 = 1,119,708/x
  3. Step 3: Cross multiply
    508,023x = 1,119,708 × 1,119,708
  4. Step 4: Simplify right side
    508,023x = 1,253,746,005,264
  5. Step 5: Solve for x
    x = 1,253,746,005,264/508,023
  6. Step 6: Final answer
    x = 2,467,892.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.