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Finding the Third Proportional to 2,989,296 and 6,539,688

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Solution

The third proportional to 2,989,296 and 6,539,688 is: 14,306,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989,296 : 6,539,688 = 6,539,688 : x
  2. Step 2: Convert to fraction form
    2,989,296/6,539,688 = 6,539,688/x
  3. Step 3: Cross multiply
    2,989,296x = 6,539,688 × 6,539,688
  4. Step 4: Simplify right side
    2,989,296x = 42,767,519,137,344
  5. Step 5: Solve for x
    x = 42,767,519,137,344/2,989,296
  6. Step 6: Final answer
    x = 14,306,886.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.