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Finding the Third Proportional to 2,861,570 and 6,064,312

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Solution

The third proportional to 2,861,570 and 6,064,312 is: 12,851,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861,570 : 6,064,312 = 6,064,312 : x
  2. Step 2: Convert to fraction form
    2,861,570/6,064,312 = 6,064,312/x
  3. Step 3: Cross multiply
    2,861,570x = 6,064,312 × 6,064,312
  4. Step 4: Simplify right side
    2,861,570x = 36,775,880,033,344
  5. Step 5: Solve for x
    x = 36,775,880,033,344/2,861,570
  6. Step 6: Final answer
    x = 12,851,644.39

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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.