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Finding the Third Proportional to 1,013,541.75 and 1,365,170.63

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Solution

The third proportional to 1,013,541.75 and 1,365,170.63 is: 1,838,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,541.75 : 1,365,170.63 = 1,365,170.63 : x
  2. Step 2: Convert to fraction form
    1,013,541.75/1,365,170.63 = 1,365,170.63/x
  3. Step 3: Cross multiply
    1,013,541.75x = 1,365,170.63 × 1,365,170.63
  4. Step 4: Simplify right side
    1,013,541.75x = 1,863,690,835,362.89
  5. Step 5: Solve for x
    x = 1,863,690,835,362.89/1,013,541.75
  6. Step 6: Final answer
    x = 1,838,790.40

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.