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Finding the Third Proportional to 830,931.75 and 1,807,446.38

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Solution

The third proportional to 830,931.75 and 1,807,446.38 is: 3,931,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,931.75 : 1,807,446.38 = 1,807,446.38 : x
  2. Step 2: Convert to fraction form
    830,931.75/1,807,446.38 = 1,807,446.38/x
  3. Step 3: Cross multiply
    830,931.75x = 1,807,446.38 × 1,807,446.38
  4. Step 4: Simplify right side
    830,931.75x = 3,266,862,398,500.64
  5. Step 5: Solve for x
    x = 3,266,862,398,500.64/830,931.75
  6. Step 6: Final answer
    x = 3,931,565.26

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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.