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Finding the Third Proportional to 570,942 and 1,243,566

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Solution

The third proportional to 570,942 and 1,243,566 is: 2,708,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,942 : 1,243,566 = 1,243,566 : x
  2. Step 2: Convert to fraction form
    570,942/1,243,566 = 1,243,566/x
  3. Step 3: Cross multiply
    570,942x = 1,243,566 × 1,243,566
  4. Step 4: Simplify right side
    570,942x = 1,546,456,396,356
  5. Step 5: Solve for x
    x = 1,546,456,396,356/570,942
  6. Step 6: Final answer
    x = 2,708,605.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.