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Finding the Third Proportional to 830,437 and 1,798,611

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Solution

The third proportional to 830,437 and 1,798,611 is: 3,895,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,437 : 1,798,611 = 1,798,611 : x
  2. Step 2: Convert to fraction form
    830,437/1,798,611 = 1,798,611/x
  3. Step 3: Cross multiply
    830,437x = 1,798,611 × 1,798,611
  4. Step 4: Simplify right side
    830,437x = 3,235,001,529,321
  5. Step 5: Solve for x
    x = 3,235,001,529,321/830,437
  6. Step 6: Final answer
    x = 3,895,541.18

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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.