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Finding the Third Proportional to 696,680 and 1,042,316

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Solution

The third proportional to 696,680 and 1,042,316 is: 1,559,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,680 : 1,042,316 = 1,042,316 : x
  2. Step 2: Convert to fraction form
    696,680/1,042,316 = 1,042,316/x
  3. Step 3: Cross multiply
    696,680x = 1,042,316 × 1,042,316
  4. Step 4: Simplify right side
    696,680x = 1,086,422,643,856
  5. Step 5: Solve for x
    x = 1,086,422,643,856/696,680
  6. Step 6: Final answer
    x = 1,559,428.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.