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Finding the Third Proportional to 762,489 and 1,650,514

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Solution

The third proportional to 762,489 and 1,650,514 is: 3,572,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,489 : 1,650,514 = 1,650,514 : x
  2. Step 2: Convert to fraction form
    762,489/1,650,514 = 1,650,514/x
  3. Step 3: Cross multiply
    762,489x = 1,650,514 × 1,650,514
  4. Step 4: Simplify right side
    762,489x = 2,724,196,464,196
  5. Step 5: Solve for x
    x = 2,724,196,464,196/762,489
  6. Step 6: Final answer
    x = 3,572,768.22

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