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Finding the Third Proportional to 1,715,756.25 and 3,697,437.75

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Solution

The third proportional to 1,715,756.25 and 3,697,437.75 is: 7,967,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715,756.25 : 3,697,437.75 = 3,697,437.75 : x
  2. Step 2: Convert to fraction form
    1,715,756.25/3,697,437.75 = 3,697,437.75/x
  3. Step 3: Cross multiply
    1,715,756.25x = 3,697,437.75 × 3,697,437.75
  4. Step 4: Simplify right side
    1,715,756.25x = 13,671,045,915,125.06
  5. Step 5: Solve for x
    x = 13,671,045,915,125.06/1,715,756.25
  6. Step 6: Final answer
    x = 7,967,941.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.