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Finding the Third Proportional to 575,953 and 1,256,719

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Solution

The third proportional to 575,953 and 1,256,719 is: 2,742,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,953 : 1,256,719 = 1,256,719 : x
  2. Step 2: Convert to fraction form
    575,953/1,256,719 = 1,256,719/x
  3. Step 3: Cross multiply
    575,953x = 1,256,719 × 1,256,719
  4. Step 4: Simplify right side
    575,953x = 1,579,342,644,961
  5. Step 5: Solve for x
    x = 1,579,342,644,961/575,953
  6. Step 6: Final answer
    x = 2,742,138.07

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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.