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Finding the Third Proportional to 837,780.47 and 1,808,387.02

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Solution

The third proportional to 837,780.47 and 1,808,387.02 is: 3,903,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,780.47 : 1,808,387.02 = 1,808,387.02 : x
  2. Step 2: Convert to fraction form
    837,780.47/1,808,387.02 = 1,808,387.02/x
  3. Step 3: Cross multiply
    837,780.47x = 1,808,387.02 × 1,808,387.02
  4. Step 4: Simplify right side
    837,780.47x = 3,270,263,598,281.09
  5. Step 5: Solve for x
    x = 3,270,263,598,281.09/837,780.47
  6. Step 6: Final answer
    x = 3,903,485.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.