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Finding the Third Proportional to 1,604,769 and 3,497,407.50

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Solution

The third proportional to 1,604,769 and 3,497,407.50 is: 7,622,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,769 : 3,497,407.50 = 3,497,407.50 : x
  2. Step 2: Convert to fraction form
    1,604,769/3,497,407.50 = 3,497,407.50/x
  3. Step 3: Cross multiply
    1,604,769x = 3,497,407.50 × 3,497,407.50
  4. Step 4: Simplify right side
    1,604,769x = 12,231,859,221,056.25
  5. Step 5: Solve for x
    x = 12,231,859,221,056.25/1,604,769
  6. Step 6: Final answer
    x = 7,622,193.11

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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.