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Finding the Third Proportional to 762,514 and 1,650,550

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Solution

The third proportional to 762,514 and 1,650,550 is: 3,572,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,514 : 1,650,550 = 1,650,550 : x
  2. Step 2: Convert to fraction form
    762,514/1,650,550 = 1,650,550/x
  3. Step 3: Cross multiply
    762,514x = 1,650,550 × 1,650,550
  4. Step 4: Simplify right side
    762,514x = 2,724,315,302,500
  5. Step 5: Solve for x
    x = 2,724,315,302,500/762,514
  6. Step 6: Final answer
    x = 3,572,806.93

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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.