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Finding the Third Proportional to 2,698,605 and 5,797,386

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Solution

The third proportional to 2,698,605 and 5,797,386 is: 12,454,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,605 : 5,797,386 = 5,797,386 : x
  2. Step 2: Convert to fraction form
    2,698,605/5,797,386 = 5,797,386/x
  3. Step 3: Cross multiply
    2,698,605x = 5,797,386 × 5,797,386
  4. Step 4: Simplify right side
    2,698,605x = 33,609,684,432,996
  5. Step 5: Solve for x
    x = 33,609,684,432,996/2,698,605
  6. Step 6: Final answer
    x = 12,454,466.08

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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.