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Finding the Third Proportional to 830,442 and 1,798,621

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Solution

The third proportional to 830,442 and 1,798,621 is: 3,895,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,442 : 1,798,621 = 1,798,621 : x
  2. Step 2: Convert to fraction form
    830,442/1,798,621 = 1,798,621/x
  3. Step 3: Cross multiply
    830,442x = 1,798,621 × 1,798,621
  4. Step 4: Simplify right side
    830,442x = 3,235,037,501,641
  5. Step 5: Solve for x
    x = 3,235,037,501,641/830,442
  6. Step 6: Final answer
    x = 3,895,561.04

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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.