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Finding the Third Proportional to 2,861,730 and 6,064,632

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Solution

The third proportional to 2,861,730 and 6,064,632 is: 12,852,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861,730 : 6,064,632 = 6,064,632 : x
  2. Step 2: Convert to fraction form
    2,861,730/6,064,632 = 6,064,632/x
  3. Step 3: Cross multiply
    2,861,730x = 6,064,632 × 6,064,632
  4. Step 4: Simplify right side
    2,861,730x = 36,779,761,295,424
  5. Step 5: Solve for x
    x = 36,779,761,295,424/2,861,730
  6. Step 6: Final answer
    x = 12,852,282.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.