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Finding the Third Proportional to 2,317,980.80 and 4,701,469.08

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Solution

The third proportional to 2,317,980.80 and 4,701,469.08 is: 9,535,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317,980.80 : 4,701,469.08 = 4,701,469.08 : x
  2. Step 2: Convert to fraction form
    2,317,980.80/4,701,469.08 = 4,701,469.08/x
  3. Step 3: Cross multiply
    2,317,980.80x = 4,701,469.08 × 4,701,469.08
  4. Step 4: Simplify right side
    2,317,980.80x = 22,103,811,492,565.54
  5. Step 5: Solve for x
    x = 22,103,811,492,565.54/2,317,980.80
  6. Step 6: Final answer
    x = 9,535,804.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.