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Finding the Third Proportional to 696,790.69 and 1,018,296.56

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Solution

The third proportional to 696,790.69 and 1,018,296.56 is: 1,488,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,790.69 : 1,018,296.56 = 1,018,296.56 : x
  2. Step 2: Convert to fraction form
    696,790.69/1,018,296.56 = 1,018,296.56/x
  3. Step 3: Cross multiply
    696,790.69x = 1,018,296.56 × 1,018,296.56
  4. Step 4: Simplify right side
    696,790.69x = 1,036,927,889,199.32
  5. Step 5: Solve for x
    x = 1,036,927,889,199.32/696,790.69
  6. Step 6: Final answer
    x = 1,488,148.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.