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Finding the Third Proportional to 524,193.19 and 1,146,526.31

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Solution

The third proportional to 524,193.19 and 1,146,526.31 is: 2,507,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,193.19 : 1,146,526.31 = 1,146,526.31 : x
  2. Step 2: Convert to fraction form
    524,193.19/1,146,526.31 = 1,146,526.31/x
  3. Step 3: Cross multiply
    524,193.19x = 1,146,526.31 × 1,146,526.31
  4. Step 4: Simplify right side
    524,193.19x = 1,314,522,585,254.85
  5. Step 5: Solve for x
    x = 1,314,522,585,254.85/524,193.19
  6. Step 6: Final answer
    x = 2,507,706.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.