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Finding the Third Proportional to 581,810 and 1,255,420

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Solution

The third proportional to 581,810 and 1,255,420 is: 2,708,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,810 : 1,255,420 = 1,255,420 : x
  2. Step 2: Convert to fraction form
    581,810/1,255,420 = 1,255,420/x
  3. Step 3: Cross multiply
    581,810x = 1,255,420 × 1,255,420
  4. Step 4: Simplify right side
    581,810x = 1,576,079,376,400
  5. Step 5: Solve for x
    x = 1,576,079,376,400/581,810
  6. Step 6: Final answer
    x = 2,708,924.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.