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Finding the Third Proportional to 736,748 and 1,610,456

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Solution

The third proportional to 736,748 and 1,610,456 is: 3,520,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,748 : 1,610,456 = 1,610,456 : x
  2. Step 2: Convert to fraction form
    736,748/1,610,456 = 1,610,456/x
  3. Step 3: Cross multiply
    736,748x = 1,610,456 × 1,610,456
  4. Step 4: Simplify right side
    736,748x = 2,593,568,527,936
  5. Step 5: Solve for x
    x = 2,593,568,527,936/736,748
  6. Step 6: Final answer
    x = 3,520,292.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.