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Finding the Third Proportional to 2,024,210 and 4,191,654

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Solution

The third proportional to 2,024,210 and 4,191,654 is: 8,679,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,210 : 4,191,654 = 4,191,654 : x
  2. Step 2: Convert to fraction form
    2,024,210/4,191,654 = 4,191,654/x
  3. Step 3: Cross multiply
    2,024,210x = 4,191,654 × 4,191,654
  4. Step 4: Simplify right side
    2,024,210x = 17,569,963,255,716
  5. Step 5: Solve for x
    x = 17,569,963,255,716/2,024,210
  6. Step 6: Final answer
    x = 8,679,911.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.