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Finding the Third Proportional to 758,413 and 1,638,457

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Solution

The third proportional to 758,413 and 1,638,457 is: 3,539,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,413 : 1,638,457 = 1,638,457 : x
  2. Step 2: Convert to fraction form
    758,413/1,638,457 = 1,638,457/x
  3. Step 3: Cross multiply
    758,413x = 1,638,457 × 1,638,457
  4. Step 4: Simplify right side
    758,413x = 2,684,541,340,849
  5. Step 5: Solve for x
    x = 2,684,541,340,849/758,413
  6. Step 6: Final answer
    x = 3,539,682.65

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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.