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Finding the Third Proportional to 709,398 and 1,523,772

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Solution

The third proportional to 709,398 and 1,523,772 is: 3,273,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,398 : 1,523,772 = 1,523,772 : x
  2. Step 2: Convert to fraction form
    709,398/1,523,772 = 1,523,772/x
  3. Step 3: Cross multiply
    709,398x = 1,523,772 × 1,523,772
  4. Step 4: Simplify right side
    709,398x = 2,321,881,107,984
  5. Step 5: Solve for x
    x = 2,321,881,107,984/709,398
  6. Step 6: Final answer
    x = 3,273,030.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.