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Finding the Third Proportional to 837,712 and 1,829,048.50

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Solution

The third proportional to 837,712 and 1,829,048.50 is: 3,993,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,712 : 1,829,048.50 = 1,829,048.50 : x
  2. Step 2: Convert to fraction form
    837,712/1,829,048.50 = 1,829,048.50/x
  3. Step 3: Cross multiply
    837,712x = 1,829,048.50 × 1,829,048.50
  4. Step 4: Simplify right side
    837,712x = 3,345,418,415,352.25
  5. Step 5: Solve for x
    x = 3,345,418,415,352.25/837,712
  6. Step 6: Final answer
    x = 3,993,518.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.