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Finding the Third Proportional to 688,732 and 1,460,826

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Solution

The third proportional to 688,732 and 1,460,826 is: 3,098,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,732 : 1,460,826 = 1,460,826 : x
  2. Step 2: Convert to fraction form
    688,732/1,460,826 = 1,460,826/x
  3. Step 3: Cross multiply
    688,732x = 1,460,826 × 1,460,826
  4. Step 4: Simplify right side
    688,732x = 2,134,012,602,276
  5. Step 5: Solve for x
    x = 2,134,012,602,276/688,732
  6. Step 6: Final answer
    x = 3,098,465.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.