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Finding the Third Proportional to 600,912 and 1,218,420

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Solution

The third proportional to 600,912 and 1,218,420 is: 2,470,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,912 : 1,218,420 = 1,218,420 : x
  2. Step 2: Convert to fraction form
    600,912/1,218,420 = 1,218,420/x
  3. Step 3: Cross multiply
    600,912x = 1,218,420 × 1,218,420
  4. Step 4: Simplify right side
    600,912x = 1,484,547,296,400
  5. Step 5: Solve for x
    x = 1,484,547,296,400/600,912
  6. Step 6: Final answer
    x = 2,470,490.35

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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.