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Finding the Third Proportional to 2,960,490 and 6,377,772

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Solution

The third proportional to 2,960,490 and 6,377,772 is: 13,739,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,490 : 6,377,772 = 6,377,772 : x
  2. Step 2: Convert to fraction form
    2,960,490/6,377,772 = 6,377,772/x
  3. Step 3: Cross multiply
    2,960,490x = 6,377,772 × 6,377,772
  4. Step 4: Simplify right side
    2,960,490x = 40,675,975,683,984
  5. Step 5: Solve for x
    x = 40,675,975,683,984/2,960,490
  6. Step 6: Final answer
    x = 13,739,609.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.