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Finding the Third Proportional to 830,833 and 1,807,465

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Solution

The third proportional to 830,833 and 1,807,465 is: 3,932,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,833 : 1,807,465 = 1,807,465 : x
  2. Step 2: Convert to fraction form
    830,833/1,807,465 = 1,807,465/x
  3. Step 3: Cross multiply
    830,833x = 1,807,465 × 1,807,465
  4. Step 4: Simplify right side
    830,833x = 3,266,929,726,225
  5. Step 5: Solve for x
    x = 3,266,929,726,225/830,833
  6. Step 6: Final answer
    x = 3,932,113.59

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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.