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Finding the Third Proportional to 575,997 and 1,256,808

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Solution

The third proportional to 575,997 and 1,256,808 is: 2,742,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,997 : 1,256,808 = 1,256,808 : x
  2. Step 2: Convert to fraction form
    575,997/1,256,808 = 1,256,808/x
  3. Step 3: Cross multiply
    575,997x = 1,256,808 × 1,256,808
  4. Step 4: Simplify right side
    575,997x = 1,579,566,348,864
  5. Step 5: Solve for x
    x = 1,579,566,348,864/575,997
  6. Step 6: Final answer
    x = 2,742,316.97

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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.