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Finding the Third Proportional to 838,048.88 and 1,297,387.50

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Solution

The third proportional to 838,048.88 and 1,297,387.50 is: 2,008,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,048.88 : 1,297,387.50 = 1,297,387.50 : x
  2. Step 2: Convert to fraction form
    838,048.88/1,297,387.50 = 1,297,387.50/x
  3. Step 3: Cross multiply
    838,048.88x = 1,297,387.50 × 1,297,387.50
  4. Step 4: Simplify right side
    838,048.88x = 1,683,214,325,156.25
  5. Step 5: Solve for x
    x = 1,683,214,325,156.25/838,048.88
  6. Step 6: Final answer
    x = 2,008,491.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.