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Finding the Third Proportional to 570,069 and 1,210,101

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Solution

The third proportional to 570,069 and 1,210,101 is: 2,568,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,069 : 1,210,101 = 1,210,101 : x
  2. Step 2: Convert to fraction form
    570,069/1,210,101 = 1,210,101/x
  3. Step 3: Cross multiply
    570,069x = 1,210,101 × 1,210,101
  4. Step 4: Simplify right side
    570,069x = 1,464,344,430,201
  5. Step 5: Solve for x
    x = 1,464,344,430,201/570,069
  6. Step 6: Final answer
    x = 2,568,714.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.