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Finding the Third Proportional to 783,598.50 and 1,697,617.50

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Solution

The third proportional to 783,598.50 and 1,697,617.50 is: 3,677,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,598.50 : 1,697,617.50 = 1,697,617.50 : x
  2. Step 2: Convert to fraction form
    783,598.50/1,697,617.50 = 1,697,617.50/x
  3. Step 3: Cross multiply
    783,598.50x = 1,697,617.50 × 1,697,617.50
  4. Step 4: Simplify right side
    783,598.50x = 2,881,905,176,306.25
  5. Step 5: Solve for x
    x = 2,881,905,176,306.25/783,598.50
  6. Step 6: Final answer
    x = 3,677,782.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.