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Finding the Third Proportional to 575,851 and 1,345,263

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Solution

The third proportional to 575,851 and 1,345,263 is: 3,142,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,851 : 1,345,263 = 1,345,263 : x
  2. Step 2: Convert to fraction form
    575,851/1,345,263 = 1,345,263/x
  3. Step 3: Cross multiply
    575,851x = 1,345,263 × 1,345,263
  4. Step 4: Simplify right side
    575,851x = 1,809,732,539,169
  5. Step 5: Solve for x
    x = 1,809,732,539,169/575,851
  6. Step 6: Final answer
    x = 3,142,709.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.