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Finding the Third Proportional to 704,114 and 1,059,543

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Solution

The third proportional to 704,114 and 1,059,543 is: 1,594,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,114 : 1,059,543 = 1,059,543 : x
  2. Step 2: Convert to fraction form
    704,114/1,059,543 = 1,059,543/x
  3. Step 3: Cross multiply
    704,114x = 1,059,543 × 1,059,543
  4. Step 4: Simplify right side
    704,114x = 1,122,631,368,849
  5. Step 5: Solve for x
    x = 1,122,631,368,849/704,114
  6. Step 6: Final answer
    x = 1,594,388.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.