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Finding the Third Proportional to 832,534 and 1,805,038

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Solution

The third proportional to 832,534 and 1,805,038 is: 3,913,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,534 : 1,805,038 = 1,805,038 : x
  2. Step 2: Convert to fraction form
    832,534/1,805,038 = 1,805,038/x
  3. Step 3: Cross multiply
    832,534x = 1,805,038 × 1,805,038
  4. Step 4: Simplify right side
    832,534x = 3,258,162,181,444
  5. Step 5: Solve for x
    x = 3,258,162,181,444/832,534
  6. Step 6: Final answer
    x = 3,913,548.49

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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.