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Finding the Third Proportional to 3,937,798.50 and 6,074,701.50

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Solution

The third proportional to 3,937,798.50 and 6,074,701.50 is: 9,371,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937,798.50 : 6,074,701.50 = 6,074,701.50 : x
  2. Step 2: Convert to fraction form
    3,937,798.50/6,074,701.50 = 6,074,701.50/x
  3. Step 3: Cross multiply
    3,937,798.50x = 6,074,701.50 × 6,074,701.50
  4. Step 4: Simplify right side
    3,937,798.50x = 36,901,998,314,102.25
  5. Step 5: Solve for x
    x = 36,901,998,314,102.25/3,937,798.50
  6. Step 6: Final answer
    x = 9,371,225.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.