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Finding the Third Proportional to 578,748 and 1,201,848

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Solution

The third proportional to 578,748 and 1,201,848 is: 2,495,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,748 : 1,201,848 = 1,201,848 : x
  2. Step 2: Convert to fraction form
    578,748/1,201,848 = 1,201,848/x
  3. Step 3: Cross multiply
    578,748x = 1,201,848 × 1,201,848
  4. Step 4: Simplify right side
    578,748x = 1,444,438,615,104
  5. Step 5: Solve for x
    x = 1,444,438,615,104/578,748
  6. Step 6: Final answer
    x = 2,495,798.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.