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Finding the Third Proportional to 709,405 and 1,556,780

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Solution

The third proportional to 709,405 and 1,556,780 is: 3,416,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,405 : 1,556,780 = 1,556,780 : x
  2. Step 2: Convert to fraction form
    709,405/1,556,780 = 1,556,780/x
  3. Step 3: Cross multiply
    709,405x = 1,556,780 × 1,556,780
  4. Step 4: Simplify right side
    709,405x = 2,423,563,968,400
  5. Step 5: Solve for x
    x = 2,423,563,968,400/709,405
  6. Step 6: Final answer
    x = 3,416,333.36

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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.