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Finding the Third Proportional to 712,404.56 and 1,049,769

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Solution

The third proportional to 712,404.56 and 1,049,769 is: 1,546,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,404.56 : 1,049,769 = 1,049,769 : x
  2. Step 2: Convert to fraction form
    712,404.56/1,049,769 = 1,049,769/x
  3. Step 3: Cross multiply
    712,404.56x = 1,049,769 × 1,049,769
  4. Step 4: Simplify right side
    712,404.56x = 1,102,014,953,361
  5. Step 5: Solve for x
    x = 1,102,014,953,361/712,404.56
  6. Step 6: Final answer
    x = 1,546,894.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.