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Finding the Third Proportional to 830,440 and 1,798,617

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Solution

The third proportional to 830,440 and 1,798,617 is: 3,895,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,440 : 1,798,617 = 1,798,617 : x
  2. Step 2: Convert to fraction form
    830,440/1,798,617 = 1,798,617/x
  3. Step 3: Cross multiply
    830,440x = 1,798,617 × 1,798,617
  4. Step 4: Simplify right side
    830,440x = 3,235,023,112,689
  5. Step 5: Solve for x
    x = 3,235,023,112,689/830,440
  6. Step 6: Final answer
    x = 3,895,553.10

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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.