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Finding the Third Proportional to 433,283 and 935,071

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Solution

The third proportional to 433,283 and 935,071 is: 2,017,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,283 : 935,071 = 935,071 : x
  2. Step 2: Convert to fraction form
    433,283/935,071 = 935,071/x
  3. Step 3: Cross multiply
    433,283x = 935,071 × 935,071
  4. Step 4: Simplify right side
    433,283x = 874,357,775,041
  5. Step 5: Solve for x
    x = 874,357,775,041/433,283
  6. Step 6: Final answer
    x = 2,017,983.11

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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.