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Finding the Third Proportional to 869,059.13 and 1,342,954.69

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Solution

The third proportional to 869,059.13 and 1,342,954.69 is: 2,075,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,059.13 : 1,342,954.69 = 1,342,954.69 : x
  2. Step 2: Convert to fraction form
    869,059.13/1,342,954.69 = 1,342,954.69/x
  3. Step 3: Cross multiply
    869,059.13x = 1,342,954.69 × 1,342,954.69
  4. Step 4: Simplify right side
    869,059.13x = 1,803,527,292,678.22
  5. Step 5: Solve for x
    x = 1,803,527,292,678.22/869,059.13
  6. Step 6: Final answer
    x = 2,075,264.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.