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Finding the Third Proportional to 830,919.09 and 1,807,423.88

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Solution

The third proportional to 830,919.09 and 1,807,423.88 is: 3,931,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,919.09 : 1,807,423.88 = 1,807,423.88 : x
  2. Step 2: Convert to fraction form
    830,919.09/1,807,423.88 = 1,807,423.88/x
  3. Step 3: Cross multiply
    830,919.09x = 1,807,423.88 × 1,807,423.88
  4. Step 4: Simplify right side
    830,919.09x = 3,266,781,063,920.02
  5. Step 5: Solve for x
    x = 3,266,781,063,920.02/830,919.09
  6. Step 6: Final answer
    x = 3,931,527.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.