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Finding the Third Proportional to 1,069,152.75 and 2,326,519.13

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Solution

The third proportional to 1,069,152.75 and 2,326,519.13 is: 5,062,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,152.75 : 2,326,519.13 = 2,326,519.13 : x
  2. Step 2: Convert to fraction form
    1,069,152.75/2,326,519.13 = 2,326,519.13/x
  3. Step 3: Cross multiply
    1,069,152.75x = 2,326,519.13 × 2,326,519.13
  4. Step 4: Simplify right side
    1,069,152.75x = 5,412,691,238,990.77
  5. Step 5: Solve for x
    x = 5,412,691,238,990.77/1,069,152.75
  6. Step 6: Final answer
    x = 5,062,598.62

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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.