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Finding the Third Proportional to 652,030 and 997,419

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Solution

The third proportional to 652,030 and 997,419 is: 1,525,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,030 : 997,419 = 997,419 : x
  2. Step 2: Convert to fraction form
    652,030/997,419 = 997,419/x
  3. Step 3: Cross multiply
    652,030x = 997,419 × 997,419
  4. Step 4: Simplify right side
    652,030x = 994,844,661,561
  5. Step 5: Solve for x
    x = 994,844,661,561/652,030
  6. Step 6: Final answer
    x = 1,525,765.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.