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Finding the Third Proportional to 570,841 and 1,254,678

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Solution

The third proportional to 570,841 and 1,254,678 is: 2,757,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,841 : 1,254,678 = 1,254,678 : x
  2. Step 2: Convert to fraction form
    570,841/1,254,678 = 1,254,678/x
  3. Step 3: Cross multiply
    570,841x = 1,254,678 × 1,254,678
  4. Step 4: Simplify right side
    570,841x = 1,574,216,883,684
  5. Step 5: Solve for x
    x = 1,574,216,883,684/570,841
  6. Step 6: Final answer
    x = 2,757,715.17

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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.