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Finding the Third Proportional to 600,915 and 1,218,426

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Solution

The third proportional to 600,915 and 1,218,426 is: 2,470,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,915 : 1,218,426 = 1,218,426 : x
  2. Step 2: Convert to fraction form
    600,915/1,218,426 = 1,218,426/x
  3. Step 3: Cross multiply
    600,915x = 1,218,426 × 1,218,426
  4. Step 4: Simplify right side
    600,915x = 1,484,561,917,476
  5. Step 5: Solve for x
    x = 1,484,561,917,476/600,915
  6. Step 6: Final answer
    x = 2,470,502.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.