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Finding the Third Proportional to 712,980.56 and 1,585,350.56

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Solution

The third proportional to 712,980.56 and 1,585,350.56 is: 3,525,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,980.56 : 1,585,350.56 = 1,585,350.56 : x
  2. Step 2: Convert to fraction form
    712,980.56/1,585,350.56 = 1,585,350.56/x
  3. Step 3: Cross multiply
    712,980.56x = 1,585,350.56 × 1,585,350.56
  4. Step 4: Simplify right side
    712,980.56x = 2,513,336,406,019.07
  5. Step 5: Solve for x
    x = 2,513,336,406,019.07/712,980.56
  6. Step 6: Final answer
    x = 3,525,112.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.