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Finding the Third Proportional to 830,557.69 and 1,776,282.19

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Solution

The third proportional to 830,557.69 and 1,776,282.19 is: 3,798,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,557.69 : 1,776,282.19 = 1,776,282.19 : x
  2. Step 2: Convert to fraction form
    830,557.69/1,776,282.19 = 1,776,282.19/x
  3. Step 3: Cross multiply
    830,557.69x = 1,776,282.19 × 1,776,282.19
  4. Step 4: Simplify right side
    830,557.69x = 3,155,178,409,629.79
  5. Step 5: Solve for x
    x = 3,155,178,409,629.79/830,557.69
  6. Step 6: Final answer
    x = 3,798,867.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.