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Finding the Third Proportional to 652,431 and 1,437,315

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Solution

The third proportional to 652,431 and 1,437,315 is: 3,166,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,431 : 1,437,315 = 1,437,315 : x
  2. Step 2: Convert to fraction form
    652,431/1,437,315 = 1,437,315/x
  3. Step 3: Cross multiply
    652,431x = 1,437,315 × 1,437,315
  4. Step 4: Simplify right side
    652,431x = 2,065,874,409,225
  5. Step 5: Solve for x
    x = 2,065,874,409,225/652,431
  6. Step 6: Final answer
    x = 3,166,425.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.