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Finding the Third Proportional to 830,558 and 1,776,283

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Solution

The third proportional to 830,558 and 1,776,283 is: 3,798,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,558 : 1,776,283 = 1,776,283 : x
  2. Step 2: Convert to fraction form
    830,558/1,776,283 = 1,776,283/x
  3. Step 3: Cross multiply
    830,558x = 1,776,283 × 1,776,283
  4. Step 4: Simplify right side
    830,558x = 3,155,181,296,089
  5. Step 5: Solve for x
    x = 3,155,181,296,089/830,558
  6. Step 6: Final answer
    x = 3,798,869.31

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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.