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Finding the Third Proportional to 709,401 and 1,556,772

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Solution

The third proportional to 709,401 and 1,556,772 is: 3,416,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,401 : 1,556,772 = 1,556,772 : x
  2. Step 2: Convert to fraction form
    709,401/1,556,772 = 1,556,772/x
  3. Step 3: Cross multiply
    709,401x = 1,556,772 × 1,556,772
  4. Step 4: Simplify right side
    709,401x = 2,423,539,059,984
  5. Step 5: Solve for x
    x = 2,423,539,059,984/709,401
  6. Step 6: Final answer
    x = 3,416,317.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.