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Finding the Third Proportional to 832,527 and 1,805,022

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Solution

The third proportional to 832,527 and 1,805,022 is: 3,913,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,527 : 1,805,022 = 1,805,022 : x
  2. Step 2: Convert to fraction form
    832,527/1,805,022 = 1,805,022/x
  3. Step 3: Cross multiply
    832,527x = 1,805,022 × 1,805,022
  4. Step 4: Simplify right side
    832,527x = 3,258,104,420,484
  5. Step 5: Solve for x
    x = 3,258,104,420,484/832,527
  6. Step 6: Final answer
    x = 3,913,512.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.