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Finding the Third Proportional to 2,989,086 and 4,758,533

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Solution

The third proportional to 2,989,086 and 4,758,533 is: 7,575,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989,086 : 4,758,533 = 4,758,533 : x
  2. Step 2: Convert to fraction form
    2,989,086/4,758,533 = 4,758,533/x
  3. Step 3: Cross multiply
    2,989,086x = 4,758,533 × 4,758,533
  4. Step 4: Simplify right side
    2,989,086x = 22,643,636,312,089
  5. Step 5: Solve for x
    x = 22,643,636,312,089/2,989,086
  6. Step 6: Final answer
    x = 7,575,438.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.