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Finding the Third Proportional to 3,029,681 and 4,533,787

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Solution

The third proportional to 3,029,681 and 4,533,787 is: 6,784,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,681 : 4,533,787 = 4,533,787 : x
  2. Step 2: Convert to fraction form
    3,029,681/4,533,787 = 4,533,787/x
  3. Step 3: Cross multiply
    3,029,681x = 4,533,787 × 4,533,787
  4. Step 4: Simplify right side
    3,029,681x = 20,555,224,561,369
  5. Step 5: Solve for x
    x = 20,555,224,561,369/3,029,681
  6. Step 6: Final answer
    x = 6,784,616.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.