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Finding the Third Proportional to 719,073.07 and 1,537,876.76

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Solution

The third proportional to 719,073.07 and 1,537,876.76 is: 3,289,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,073.07 : 1,537,876.76 = 1,537,876.76 : x
  2. Step 2: Convert to fraction form
    719,073.07/1,537,876.76 = 1,537,876.76/x
  3. Step 3: Cross multiply
    719,073.07x = 1,537,876.76 × 1,537,876.76
  4. Step 4: Simplify right side
    719,073.07x = 2,365,064,922,219.89
  5. Step 5: Solve for x
    x = 2,365,064,922,219.89/719,073.07
  6. Step 6: Final answer
    x = 3,289,046.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.