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Finding the Third Proportional to 972,768 and 1,554,022.50

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Solution

The third proportional to 972,768 and 1,554,022.50 is: 2,482,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,768 : 1,554,022.50 = 1,554,022.50 : x
  2. Step 2: Convert to fraction form
    972,768/1,554,022.50 = 1,554,022.50/x
  3. Step 3: Cross multiply
    972,768x = 1,554,022.50 × 1,554,022.50
  4. Step 4: Simplify right side
    972,768x = 2,414,985,930,506.25
  5. Step 5: Solve for x
    x = 2,414,985,930,506.25/972,768
  6. Step 6: Final answer
    x = 2,482,591.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.