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Finding the Third Proportional to 586,827.28 and 1,236,702.94

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Solution

The third proportional to 586,827.28 and 1,236,702.94 is: 2,606,276.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,827.28 : 1,236,702.94 = 1,236,702.94 : x
  2. Step 2: Convert to fraction form
    586,827.28/1,236,702.94 = 1,236,702.94/x
  3. Step 3: Cross multiply
    586,827.28x = 1,236,702.94 × 1,236,702.94
  4. Step 4: Simplify right side
    586,827.28x = 1,529,434,155,621.13
  5. Step 5: Solve for x
    x = 1,529,434,155,621.13/586,827.28
  6. Step 6: Final answer
    x = 2,606,276.51

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.