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Finding the Third Proportional to 830,530.13 and 1,776,225.38

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Solution

The third proportional to 830,530.13 and 1,776,225.38 is: 3,798,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,530.13 : 1,776,225.38 = 1,776,225.38 : x
  2. Step 2: Convert to fraction form
    830,530.13/1,776,225.38 = 1,776,225.38/x
  3. Step 3: Cross multiply
    830,530.13x = 1,776,225.38 × 1,776,225.38
  4. Step 4: Simplify right side
    830,530.13x = 3,154,976,582,793.89
  5. Step 5: Solve for x
    x = 3,154,976,582,793.89/830,530.13
  6. Step 6: Final answer
    x = 3,798,750.33

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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.